Po dogovoru
  soba 515
  aljosa.peperko@fs.uni-lj.si
  –
  01 4771 515
   

Research interests

Operator theory, matrix analysis, functional analysis, measure theory, tropical algebra, idempotent mathematics, algebra, connections to graph theory and other branches of mathematics, applications of the above in scheduling, transport, production, physics, … (spectral theory; theory of linear and nonlinear operators; max-algebra; tropical algebra; idempotent mathematics; spectrum and its parts; spectral radius; generalized and joint spectral radius of sets of operators; spaces of measurable functions and operators acting on them; matrices and operators in max-algebra; nonlinear operators; (evolution) semigroups of operators; differential and integral equations; (positive) kernel operators; Banach spaces; Banach function spaces; Banach lattices; operator, function and other inequalities; …)

Position

Associate Professor of mathematics at the Faculty of Mechanical Engineering, University of Ljubljana, Slovenia (FS UL) (habilitation at the Faculty of Mathematics and Physics, University of Ljubljana (FMF UL))

Some possible themes for students

Research interests

Operator theory, matrix analysis, functional analysis, measure theory, idempotent mathematics, algebra, connections to graph theory and topology, applications of the above in scheduling, transport, production, physics, … (spectral theory; theory of linear and nonlinear operators; max-algebra; tropical algebra; idempotent mathematics; spectrum and its parts; spectral radius; generalized and joint spectral radius of sets of operators; spaces of measurable functions and operators acting on them; matrices and operators in max-algebra; nonlinear operators; (evolution) semigroups of operators; differential and integral equations; (positive) kernel operators; Banach spaces; Banach function spaces; Banach lattices; operator, function and other inequalities; …)

Research papers

In preparation

  • Bogdanović Katarina, Peperko Aljoša, Monotonicity properties of weighted geometric symmetrisations of positive kernel operators, in preparation
  • LEHNER, Franz, PEPERKO Aljoša, Inequalities for Hadamard products of matrices and operators
  • LEHNER, Franz, PEPERKO Aljoša, Lower bounds for the spectral radius of block Hadamard product of matrices
  • M. Zangiabadi, S.Khalegzade, A.Peperko, T. Šfiligoj, Hajarian, solvability of tropical tensor interval systems, in preparation
  • MÜLLER, Vladimir, PEPERKO, Aljoša, Generalized Berger-Wang formula in max-algebra
  • THAGHIZADEH Davod, ZAHRAEI Mohsen, PEPERKO Aljoša, ABOUTALEBI Narges Haj,FALLAT, Shaun, Results on the generalized numerical ranges in max algebra, in preparation for submission
  • PEPERKO Aljoša, Hyperinvariant cones, in preparation
  • KANDIĆ Marko, PEPERKO Aljoša, On the submultiplicativity and subadditivity of the spectral and essential spectral radius of max-type operators
  • PEPERKO, Aljoša, Inequalities on the spectral radius of positive operators on sequence spaces and generalized logaritmic convexity of fixed points
  • PEPERKO, Aljoša, Upper bounds for the spectral radius of Hadamard products

Submitted or arxiv papers

  • Katarina Bogdanović, Aljoša Peperko, Monotonicity properties of weighted geometric symmetrizations, submitted and on arxiv
  • Katarina Bogdanović, Aljoša Peperko, Monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations, submitted
  • MANJEGANI Seyed Mahmoud, PEPERKO Aljoša, SHOKOOH SALJOGHI Hojr, Calculating eigenvectors in max-algebra by mutation method, arxiv: arXiv:2202.13198 , submitted
  • Jure Voglar, Aljoša Peperko, Calculating the sequences behind a hexagonal lattice based equal circle packing in the Euclidian plane, arxiv
  • Šfiligoj Tina, Peperko Aljoša, Bajec Patricija, Katz Odded, Node-level relations between structure and passenger flows in public transport networks submitted, in revision

Published math scientific papers:

  1. DRNOVŠEK, Roman, PEPERKO, Aljoša. Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces. Positivity, ISSN 1385-1292, 2006, vol. 10, no. 4, str. 613-626., at least 4 clear citations
  2. PEPERKO, Aljoša. On the max version of the generalized spectral radius theorem. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2008, vol. 428, iss. 10, str. 2312-2318, at least 8 clear citations + 1 clear citation in Math Reviews
  3. PEPERKO, Aljoša. Inequalities for the spectral radius of non-negative functions. V: Wickstead, Anthony W. (ur.). Positivity V conference : Queen’s University Belfast, July 23-27, 2007. , Positivity, Dordrecht: Kluwer Academic Publishers, 2009, vol. 13, no. 1, s 255-272., at least 2 clear citations + at least 1 clear citation outside MathSciNet
  4. DRNOVŠEK, Roman, PEPERKO, Aljoša. On the spectral radius of positive operators on Banach sequence spaces. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2010, vol. 433, iss. 1, 241-247, at least 1 clear citation outside MathSciNet
  5. PEPERKO, Aljoša. On the functional inequality for the spectral radius of compact operators. Linear and Multilinear Algebra, ISSN 0308-1087, 2011, vol. 59, iss. 4, 357-364.
  6. PEPERKO, Aljoša. On the continuity of the generalized spectral radius in max algebra. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2011, vol. 435, iss. 4, 902-907, at least 2 clear citations
  7. PEPERKO, Aljoša. Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2012, vol. 437, iss. 1, 189-201, at least 3 clear citations
  8. MÜLLER, Vladimir, PEPERKO, Aljoša. Generalized spectral radius and its max algebra version. V: 17th Conference of the International Linear Algebra Society, Braunschweig, Germany, August 2011. Special issue on 17th ILAS conference, Braunschweig 2011, (Linear algebra and its applications, ISSN 0024-3795, Vol. 439, iss. 4). Amsterdam [etc.]: Elsevier, 2013, 1006-1016, at least 1 clear citation
  9. MÜLLER, Vladimir, PEPERKO, Aljoša, On the spectrum in max-algebra, Lin. Alg. Appl. (2015), 250-266, http://dx.doi.org/10.1016/j.laa.2015.07.013
  10. KANDIĆ Marko, PEPERKO Aljoša, On the submultiplicativity and subadditivity of the spectral and essential spectral radius, Banach J. Math. Anal., Volume 10, Number 1 (2016), 133-146.
  11. DRNOVŠEK Roman, PEPERKO, Aljoša, Inequalities on the spectral radius and the operator norm of Hadamard products of positive operators on sequence spaces, Banach J. of Math. Anal., Volume 10, Number 4 (2016), 800-814, 2016, at least 3 clear citations + at least 2 clear citations outside Math Sci net
  12. KRAMAR FIJAVŽ Marjeta, PEPERKO Aljoša, SYKOLIA Eszter, Semigroups of max-plus linear operators, Semigroup Forum, Volume 94, Issue 2 (2017), 463–476, http://link.springer.com/article/10.1007/s00233-015-9761-x , 2016, str.14. (preprint available at arxiv), paper available at: https://rdcu.be/4QpE
  13. ADREIANOV Boris, KRAMAR FIJAVŽ Marjeta, PEPERKO Aljoša, SYKOLIA Eszter, Erratum to “Semigroups of max-plus linear operators”, Semigroup Forum (2017) 94:477–479. (preprint available at arxiv), http://link.springer.com/article/10.1007/s00233-017-9870-9
  14. SHAO Zehui, LI Zepeng, PEPERKO Aljoša, ŽEROVNIK Janez, WAN Jiafu, Independent rainbow domination of graphs, Bulletin of the Malaysian Mathematical Sciences Society (2017). http://link.springer.com/article/10.1007%2Fs40840-017-0488-6, the paper is available at http://rdcu.be/qEth, at least 5 clear citations
  15. MÜLLER, Vladimir, PEPERKO, Aljoša, On the Bonsall cone spectral radius and the approximate point spectrum, Discrete and Continuous Dynamical Systems – Series A, vol. 37, no 10. (October 2017), 5337–5364, (preprint is available at ResearchGate and arxiv).
  16. PEPERKO, Aljoša, Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators, Lin. Alg. Appl. 533 (2017), 418–427, (preprint is available at ResearchGate and arxiv).
  17. PEPERKO, Aljoša, Uniform boundedness principle for non-linear operators on cones of functions, Journal of Function Spaces, Volume 2018, Article ID 6783748, 5 pages, at least 1 clear citation outside Math Sci Net https://doi.org/10.1155/2018/6783748 (open access article) (preprint is available also at arxiv)
  18. PEPERKO, Aljoša, Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard products of positive kernel operators, Linear and Multilinear Algebra, 67:8, 1637-1652, https://doi.org/10.1080/03081087.2018.1465885 , first 50 open access at: https://www.tandfonline.com/eprint/85SDzM5wrIg6AJTdYxfg/full , some final online copies available at: https://www.tandfonline.com/eprint/7MAw5k74bIVgu4BdUCZM/full?target=10.1080/03081087.2018.1465885 (preprint available at ResearchGate and arxiv)
  19. MÜLLER, Vladimir, PEPERKO, Aljoša, Lower spectral radius and spectral mapping theorem for suprema preserving mappings, Discrete Dinamical Systems – Series A, (August 2018) vol 38, no 8, 4117 -4132. (preprint is available at ResearchGate and arxiv), open access in June 2018 at http://aimsciences.org/article/doi/10.3934/dcds.2018179
  20. PEPERKO Aljoša, Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators, Lin. Mult. Algebra, 2018, https://www.tandfonline.com/eprint/5FGCm8nM6Xpku8DYSItH/full (preprint is available at ResearchGate and arxiv).
  21. PEPERKO Aljoša, Logaritmic convexity of fixed points of stochastic kernel operators, Positivity, (2019) 23: 367-–377, http://link.springer.com/article/10.1007/s11117-018-0611-4, free offprint (for four weeks): http://www.springer.com/home?SGWID=0-0-1003-0-0&aqId=3606956&download=1&checkval=bd9e76ccc34fa32776d39ceb1c4eea76 https://rdcu.be/7mND (preprint available at ResearchGate and arxiv)
  22. ROSENMMAN, Amnon, LEHNER, Franz, PEPERKO Aljoša, Polynomial convolutions in max-plus algebra, Lin. Alg. Appl. 578 (2019) 370–401, (preprint available at ResearchGate and arxiv ), https://arxiv.org/abs/1802.07373, published paper for a limited time freely available at: https://authors.elsevier.com/c/1Z8Ck5YnCbdgI
  23. GABROVŠEK, Boštjan, PEPERKO Aljoša, ŽEROVNIK Janez, Independent rainbow domination numbers of generalized Petersen graphs P(n,2) and P(n,3), Mathematics, open access, 2020
  24. THAGHIZADEH Davod, ZAHRAEI Mohsen, PEPERKO Aljoša, ABOUTALEBI Narges Haj, On the numerical ranges of matrices in max algebra, Banach J. Math. Anal., Online First, 4 weeks Open access until middle of August 2020, https://doi.org/10.1007/s43037-020-00082-x, at least 1 clear citation
  25. WU Pu, ERVEŠ Rija, JIANG Huiqin, SHAO Zehui, PEPERKO Aljoša, ŽEROVNIK Janez, Double Roman Graphs in P(3k, k), Mathematics, 2021, open access.
  26. PEPERKO Aljoša, Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces, Positivity (2021), 25(4), 1659-1675, e version at: http://link.springer.com/article/10.1007/s11117-021-00833-6, preprint at Research gate, DOI: 10.13140/RG.2.2.27743.18086, nondownloadable published version available online at: https://rdcu.be/clayn
  27. MANJEGANI Seyed Mahmoud, PEPERKO Aljoša, SHOKOOH SALJOGHI Hojr, On the eigenvalues in max algebra and distinguished eigenvalues of nonnegative matrices, Lin. Alg. Appl. 634 (2022) 112-136, https://doi.org/10.1016/j.laa.2021.11.002
  28. S. Khaleghzade, M. Zangiabadi, A. Peperko, M. Hajarian, Perron-Frobenius theory for some classes of nonnegative tensors in the max algebra, Linear Algebra and its Applications 641 (2022) 115–142, free access at https://authors.elsevier.com/a/1eayI5YnClwQW until April 5th 2022
  29. BOGDANOVIĆ Katarina, PEPERKO Aljoša, Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces, Positivity (2022) (2022) 26:25 https://doi.org/10.1007/s11117-022-00891-4, view only version at: https://rdcu.be/cHD0P , preprint available at arxiv
  30. BOGDANOVIĆ Katarina, PEPERKO Aljoša, Inequalities and equalities for the generalized and joint spectral radius and their essential versions of positive kernel operators, Lin. Mult. Algebra (2022); arxiv/4150233
  31. S. Khaleghzade, M. Zangiabadi, A. Peperko and M. Hajarian, Interval multi-linear systems for tensors in the max-plus algebra and their application in solving the job shop problem, Kybernetika 58 no. 5, 708-732, 2022, DOI: 10.14736/kyb-2022-5-0708 (open access)
  32. GABROVŠEK, Boštjan, PEPERKO Aljoša, ŽEROVNIK Janez, On the 2-rainbow independent domination numbers of some graphs, JCOR-Central European Journal of Operations Research, February 2023, 1-15, open access, https://doi.org/10.1007/s10100-023-00840-w
  33. MÜLLER, Vladimir, PEPERKO, Aljoša, On some spectral theory for infinite bounded non-negative matrices in max algebra, Lin. Mult. Algebra (2023), 20 pages https://doi.org/10.1080/03081087.2023.2188155, open access, available also at arxiv and researchgate
  34. Reznichenko Igor, Podržaj Primož, Peperko Aljoša, Calculation of stationary magnetic fields based on the improved quadrature formulas for a simple layer potential, Mathematics (2024), open access.
  35. D. Thaghizadeh, M. Zahraei, N. Haj Aboutalebi, A. Peperko, S. Fallat, Correction to: On the numerical ranges of matrices in max algebra, Banach J. Math. Anal. (2025) 19:3, open access, https://doi.org/10.1007/s43037-024-00391-5, 26 pages
  36. B. Lins and A. Peperko, Inequalities on the essential joint and essential generalized spectral radius, on arxiv, to appear in Journal Mathematical Inequalities, 2024, open access

Published scientific papers from other sciences:

  1. VOGLAR Jure, ZUPANČIČ Matevž, PEPERKO Aljoša, BIRBARAH Patrick, MILJKOVIĆ Nenad, GOLOBIČ Iztok, Analysis of heater-wall temparature distributions during the saturated pool boiling water, Experimental Thermal and Fluid Science 102 (2019), 205-214., at least 12 clear citations, https://authors.elsevier.com/c/1Y9OM_KLCoXil~
  2. ŽUŽEK, Tena, PEPERKO Aljoša, KUŠAR Janez, A Max-Plus Algebra Approach for Generating Non-Delay Schedule, Croatian Operational Research Review, 10 (2019), 35-44., open access at: https://hrcak.srce.hr/index.php?show=toc&id_broj=17737 and https://hrcak.srce.hr/ojs/index.php/crorr/issue/view/377
  3. Berlec Tomaž, Peperko Aljoša, A model for a Green Lean sustainable improvement with performance measurement, Appl. Sci. 2024, 14(20), 9291; https://doi.org/10.3390/app14209291 , open access

CONFERENCE AND OTHER PAPERS:

  1. LOKAR, Matija, LUKŠIČ, Primož, PEPERKO, Aljoša. V 5 minutah do matematičnega testa: Ali si UP-AM? = No one can make a maths test in 5 minutes: the UP-AM project. V: OREL, Mojca (ur.). Mednarodna konferenca Splet izobraževanja in raziskovanja z IKT, SIRIKT 2009, Kranjska Gora, 15.-18. april 2009 = International Conference Enabling Education and Research with ICT, SIRIKT 2009, Kranjska Gora, 15th-18th April 2009. Ljubljana: Arnes, 2009, str. 805-813. [COBISS.SI-ID 15134041] (In Slovene) http://www.sirikt.si/fileadmin/sirikt/predstavitve/2009/ZBORNIK_Sirkt2009.pdf.
  2. KOSEM, Tomaž, LOKAR, Matija, PEPERKO, Aljoša. Tehnologija in utrjevanje matematičnega znanja. (Technology and validation of knowledge of mathematics), Matematika v šoli (Mathematics in school), ISSN 1318-010X, 2009, letn. 15, št. 3-4, str.
    186-202, ilustr. [COBISS.SI-ID 1314428] (In Slovene)
  3. PEPERKO, Aljoša, ŠTER Janez, Pitagorov izrek (Pithagorean theorem), Presek, June 2016. (In Slovene)
  4. GABROVŠEK Boštjan, PEPERKO Aljoša, Hitro množenje velikih števil, (Quick multiplication of big numbers), Presek, September, 2016. (In Slovene)
  5. ŽUŽEK, Tena, PEPERKO, Aljoša, BERLEC, Tomaž, KUŠAR, Janez. Izdelava non-delay urnika s pomočjo max-plus algebre (Producing a non-delay schedule by using max-plus algebra). V: BERLEC, Tomaž (ur.), BROJAN, Miha (ur.), DROBNIČ, Boštjan (ur.). [Zbornik del]. Ljubljana: Fakulteta za strojništvo. 2018, f. 190-197 (In Slovene)
  6. NICOLLIER Gregoire, PEPERKO Aljoša, ŠTER Janez, Pithagorean theorem: a proof without words, to appear in Math. Magazine, Vol.91, Issue 5, 2018. First 50 open access: https://www.tandfonline.com/eprint/TaP2fCm7hb5AMCjAZ4rE/full
  7. GABROVŠEK, Boštjan, PEPERKO Aljoša, ŽEROVNIK Janez, On the independent rainbow domination numbers of generalized Petersen graphs P(n,2) and P(n,3), extended abstract in the Conference proceedings of SOR 19 Conference at Bled, Slovenia, September 2019.
  8. PUSTAVRH, Jan, PEPERKO, Aljoša, MAJDIČ, Franc. Razvoj in raziskave prototipa Stewartove ploščadi. Ventil : revija za fluidno tehniko in avtomatizacijo, ISSN 1318-7279. [Tiskana izd.], avg. 2020, letn. 26, št. 4, str. 264-271 (In Slovene)
  9. PUSTAVRH, Jan, PEPERKO, Aljoša, MAJDIČ, Franc. Modeliranje in razvoj hidravličnega sistema Stewartove ploščadi. V: GOLOBIČ, Iztok (ur.). Akademija strojništva 2022 : inženirstvo – inovativne rešitve za trajnostni razvoj in samooskrbo, Ljubljana, 23. november 2022 : [11. mednarodna konferenca]. Ljubljana: Zveza strojnih inženirjev Slovenije – ZSIS, 2022. Letn. 11, št. 3/6, str. 122-123, ilustr. Svet strojništva, letn. 11, št. 3/6. ISSN 1855-6493. https://www.zveza-zsis.si/2022/11/22/svet-strojnistva-akademija-strojnistva-2022/.
  10. GABROVŠEK, Boštjan, PEPERKO Aljoša, ŽEROVNIK Janez, 2-rainbow independent domination numbers of some graphs, SOR Conference 2021, 6 pages.
  11. I. Reznichenko, P. Podržaj, A. Peperko, Control theory and numerical analysis of magnetic field involving mechanical systems, to appear at SOR Conference 2023, 4 pages.
  12. T. Šfiligoj, A. Peperko, Estimating node importance in public transport networks, SOR Conference 2023, 4 pages.
  13. T. Šfiligoj, A. Peperko, A max-plus algebraic model of bus bunching and control strategies, 21st International Conference on Transport Science (ICTS 2024), Transportation Research Procedia (2024), 8 pages

CITATIONS : at least 65 clear citations (last 10 years)
h10 indeks : 4

Editor

Associate editor for special issue dedicated to Professor Martin Gavalec, 2021-2022, Kybernetika (Volume 58 (2022), Kybernetika – Journal Content)

Reviewing and Refereeing

Math Reviews; J.Comp. and Appl. Math., Lin. Alg. Appl.; Linear  Mult. Alg.;  Journal of Math Anal. Appl, Num. Funct Anal. Opt.; Fuzzy sets and systems;Ars Mathematica Contemporanea; Communications in Algebra; Hacettepe J. Math. Stat., Num. Math. Th., Methods Appl. ; J. Diff. Eq.  Appl; Banach. J. Math. Anal.; Kybernetika;  J. Mech. Engin.; …

COORGANIZATION of CONFERENCES and COORGANIZATION OF SPECIAL SESSIONS at CONFERENCES

  1. special session Order preserving operators and applications at Conference IWOTA 2019, Lisbon,Portugal, 22-26th July 2019
  2. special session Tropical matrix algebra at Conference MATTRIAD 2019, Liblice, Czech Republic, 8-13th September 2019
  3. Conference POSITIVITY XI, Ljubljana, July 10th-14th, 2023, Positivity XI (10-14 July 2023): Overview · (Indico) (matheo.si)

LEADING OF RESEARCH WORKSHOPS AT CONFERENCES, RESEARCH MEETINGS

  1. Max semigroups. Tübingen, 4. apr. 2009, 3rd Dynamical Networks Days, April 1-5, 2009, Tübingen/Horb, [COBISS.SI-ID 15218777]
  2. Spectral theory in max algebra. V: 6th Linear Algebra Workshop, Kranjska Gora, Slovenia, May 25 – June 1, 2011. Book of abstracts. Ljubljana: Inštitut za matematiko, fiziko in mehaniko, 2011, str. 35-36. http://www.law05.si/law11/abstrakti/pdf/Peperko-WG.pdf. [COBISS.SI-ID 15947353]

INVITED TALKS AT CONFERENCES, WORKSHOPS, RESEARCH MEETINGS

  1. Some results on spectral theory for suprema preserving operators on max-cones in normed vector lattices, conference IWNAA 2023, Rishikesh, India (online), December 14th-16th 2023
  2. Some results on spectral theory for suprema preserving operators on max-cones, Challenges in Spectral Theory of Differential Operators, Graz, December 18th-22th 2022
  3. Max type operators and eigenproblems, 3rd Dynamical Networks Days, April 1-5, 2009, Tübingen/Horb,
  4. On some spectral theory for suprema preserving operators on max-cones, Alpe Adria Seminar, the bilateral seminar of Slovenian and Croatian operator theory researchers, 21. 5. 2022, Zagreb

INVITED TALKS AT UNIVERSITIES

  1. Inequalities for joint spectral radius and its essential version of  bounded sets of positive kernel operators, online October 22th, 2024, Advanced Seminar Dynamical Systems, Universität Passau
  2. On eigenvalues in max-times algebra and related topics : online, 23. 3. 2021, Optimisation and Numerical Analysis seminar, School of Mathematics, University of Birmingham
  3.  Polynomial convolutions in max plus algebra, 2. 4. 2019,  Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic
  4. On the spectrum and spectral mapping theorem in max-times algebra : Graz, 29. 10. 2018, Strukturtheorie-Seminar, Institute of Discrete Mathematics, Graz University of Technology, Austria
  5. Inequalities for the joint and generalized spectral radius of bounded sets of positive kernel operators : Prague, 31. 10. 2017, Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic
  6. On the Bonsall cone spectral radius and the approximate point spectrum : TU Graz, 6. 4. 2016, Strukturtheorie-Seminar,  Graz University of Technology, Austria
  7. On the spectrum in max-algebra. Graz, 12. 5. 2015, Strukturtheorie-Seminar,  Graz University of Technology, Austria
  8. Inequalities for the spectral radius of infinite non-negative matrices and max algebra. Osijek: Matematički kolokvij, Odjel za matematiku Sveučilišta J. J. Strossmayera, 8. 12. 2011.
  9.  Inequalities for the spectral radius of infinite non-negative matrices and max algebra. Praga: 22. 11. 2011,  Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic

Project’s Principal Investigator

  1. “Spectral problems for classically non-linear operators and applications”, JESH project, June 1st 2016-August 31th 2016, financed by Austrian Academy of Sciences
  2. SLO PI of “Numerical range and spectrum of operators”, bilateral project Slovenia-USA, October 1st 2019-September 30th 2021, financed by Slovenian Research Agency ARRS
  3. SLO PI of “ Nonlinear and linear operator-matrix problems and applications”, bilateral project Slovenia-Austria, 1.1.2020-31.12.2021(31.12.2022), financed by Slovenian Research Agency ARRS and Austrian Agency for International Cooperation in Education and Research-OeAD.
  4. SLO PI of “Spectral properties and numerical ranges of linear and nonlinear operators”, bilateral project Slovenia-USA, July 1st 2022-June 30th 2024, financed by Slovenian Research Agency ARRS

Head of other projects

  1. Cultural project “Nov krog”, May-October 2020, financed by Mestna občina Celje
  2. Cultural project “Naredi nekaj dobrega”, May -December 2022, financed by Mestna občina Celje

Teaching

Calculus and advanced calculus courses at the FS UL (at the 1., 2. and 3. Bologna level)

TEACHING BOOKS (in Slovene)

  1. NOVAK, Tina, PEPERKO, Aljoša, RUPNIK POKLUKAR, Darja, ZAKRAJŠEK, Helena. Matematika 1 : naloge in postopki reševanja. 1. izd. Ljubljana: Fakulteta za strojništvo, 2013. 187 str., ilustr. ISBN 978-961-6536-68-4. [COBISS.SI-ID 269071360 ]; 2. dopolnjena izdaja 2018
  2. NOVAK, Tina, PEPERKO, Aljoša, RUPNIK POKLUKAR, Darja, ZAKRAJŠEK, Helena. Tehniška matematika 1 : naloge in postopki reševanja. 1. izd. Ljubljana: Fakulteta za strojništvo, 2013. 157 str., ilustr. ISBN 978-961-6536-69-1. [COBISS.SI-ID 269071872 ] ; 2. dopolnjena izdaja 2015
  3. NOVAK, Tina, PEPERKO, Aljoša, RUPNIK POKLUKAR, Darja, ZAKRAJŠEK, Helena. Matematika 2 : naloge in postopki reševanja. 1. izd. Ljubljana: Fakulteta za strojništvo, 2016; 1.popravljena izdaja 2017.
  4. NOVAK, Tina, PEPERKO, Aljoša, RUPNIK POKLUKAR, Darja, ZAKRAJŠEK, Helena. Tehniška matematika 2 : naloge in postopki reševanja. 1. izd. Ljubljana: Fakulteta za strojništvo, 2016.
  5. PEPERKO Aljoša. PERMAN Mihael, RUPNIK POKLUKAR, Darja, Matematika 3: naloge in postopki reševanja, 1.izd. Ljubljana: Fakulteta za strojništvo, 2017; ponatis oz. dotis 2017.
  6. PEPERKO Aljoša, GABROVŠEK Boštjan, Funkcije več spremenljivk in osnove vektorske analize, elektronski učbenik, Fakulteta za strojništvo, 2022, prosto dostopno, dLib.si – Funkcije več spremenljivk in osnove vektorske analize
  7. ŽEROVNIK J., GABROVŠEK B., NOVAK T., PEPERKO A., ZAKRAJŠEK H., Linearna algebra in vektorska analiza, 1. izd. Ljubljana: Fakulteta za strojništvo, 2022.
  8. Darja Rupnik Poklukar, Aljoša Peperko, Janez Žerovnik, Parcialne diferencialne enacbe, kompleksna analiza in optimizacija, učbenik, 1. izd. Ljubljana: Fakulteta za strojništvo, 2023

CO-SUPERVISOR (Phd dissertations)

  1. SHOKOOH SALJOOGHI, Hojr, Mutations and their applications in max algebra and linear algebra, Isfahan University of Technology, Isfahan, 2022.

SUPERVISOR or CO-SUPEVISOR (Bachelor or Master thesis’ or equivalent; or PhD in progress)

  1. RUGELJ, Blaž. Stabilne porazdelitve (Stable distributions) : delo diplomskega seminarja. Ljubljana: [B. Rugelj], 2012. 29 str., ilustr. [COBISS.SI-ID 16564057], Fakultetna Prešernova nagrada (Faculty Prešeren award), 1. Bologna level, FMF UL, supervisor
  2. PODOBNIK, Primož. Max-plus linearni sistemi in max-plus stožci (Max-plus linear sistems and max-plus cones) : delo diplomskega seminarja. Ljubljana: [P. Podobnik], 2014. 29 str., 1. Bologna level, FMF UL, supervisor
  3. RADEJ, Sara. Kopule za večrazsežno Studentovo porazdelitev (Copulas for multivariate Student distribution): delo diplomskega seminarja. Ljubljana: [S. Radej], 2014. 34 str., 1. Bologna level, FMF UL, supervisor
  4. LAH, Marko. Analiza značilnic vrelnega procesa pri mehurčkastem vrenju FC-72 (Analysis of boiling process characteristics at pool boiling of FC-72), Diplomsko delo univerzitetnega študija, 2016 str.54, FS UL, co-supervisor
  5. KRAMPELJ, Uroš. Max-plus algebra in njena uporaba pri optimizaciji proizvodnih sistemov (Max- plus algebra and its application in optimization of manufacturing problems): delo diplomskega seminarja. Ljubljana: [U. Krampelj], 2017, 25. str., 1. Bologna level, FMF UL, supervisor
  6. JAZBEC, Metod. Splošna definicija diferencirane zasebnosti : delo diplomskega seminarja. Ljubljana: [M. Jazbec], 2018. 31 str., 1. Bologna level, FMF UL, supervisor
  7. DE LUISA, Andraž, Analiza stabilnosti prometa z lastnimi vrednostmi in lastnimi vektorji : delo diplomskega seminarja, 1. Bologna level, FMF UL, 2019, supervisor
  8. KOVAČIČ Sara, Regresija z Gaussovimi procesi: delo diplomskega seminarja, 1. Bologna level, FMF UL, 2019, supervisor
  9. LONDRANT Luka. Geometrija diferencirane zasebnosti: delo diplomskega seminarja, 1. Bologna level, FMF UL, 2019, supervisor
  10. MUNDA Jaka, Ocenjevanje parametrov večrazsežne normalne porazdelitve: delo diplomskega seminarja, 1. Bologna level, FMF UL 2019, supervisor
  11. ISTENIČ Enej, Vpliv molekularne značilnosti fluida in stene na tokovne razmere : magistrsko delo magistrskega študijskega programa II. stopnje Strojništvo. Ljubljana, 2. Bologna level, FS UL 2019, co-supervisor
  12. PUSTAVRH Jan, Snovanje hidravličnega sistema prototipa Stewartove ploščadi : diplomsko delo Visokošolskega strokovnega študijskega programa I. stopnje Strojništvo, 1. Bologna level, FS UL 2020, co-supervisor
  13. KRAMPELJ, Uroš., Max-plus algebra in njena uporaba pri sestavljanju železniških voznih redov, 2. Bologna level, FMF UL 2020, supervisor
  14. PUSTAVRH Jan, 2. Bologna level, FS UL 2022, co-supervisor
  15. supervisor for 1 PhD student (in progress)
  16. co-supervisor for 5 PhD students (in progress)

Poetry and lyrics at: 6 published collections of poems (4 partially supported by MOCelje): Zame in zate, v iskanju sreče; Bitje, ki diha; Nov krog; Mlado bitje, ki diha; Ljubi; Naredi nekaj dobrega; in preparation: Iskre  https://www.facebook.com/aljosa.peperko.1  Aljoša Peperko – predstavitev (cld.si)