Domov » Osebje » doc. dr. Aljoša Peperko » Assist.Prof. Dr. Aljoša Peperko

Assist.Prof. Dr. Aljoša Peperko

INTERESTS:  operator theory, matrix analysis,  functional analysis, measure theory, idempotent mathematics,  algebra, applications of the above, …  (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: Assistant Professor (docent) of mathematics at the Faculty of Mechanical Engineering, University of Ljubljana , Slovenia(FS UL) (habilitated at the Faculty of Mathematics and Physics, University of Ljubljana (FMF UL))

Some possible themes for students at 1., 2. and 3. Bologna level (themes for Bachelor, Master and Phd thesis’)

RESEARCH PAPERS:

In preparation:

a) KANDIĆ Marko, PEPERKO Aljoša, On the submultiplicativity and subadditivity of the spectral and essential spectral radius of max-type operators

b) MÜLLER, Vladimir, PEPERKO, Aljoša, On the spectral mapping theorem for the point and the approximative point spectrum max-type operators

c) MÜLLER, Vladimir, PEPERKO, Aljoša, Generalized Berger-Wang formula in max-algebra

d) LEHNER, Franz, PEPERKO Aljoša, ROSENMMAN, Amnon, Polynomial convolutions in max-plus algebra

e)  VOGLAR Jure, ZUPANČIČ Matevž, PEPERKO Aljoša, BIRBARAH Patrick, MILJKOVIĆ Nenad, GOLOBIČ Iztok,  Comparative analysis of heater wall temperature distributions during saturated pool boiling of water

f) PEPERKO Aljoša, Hyperinvariant cones

g) LEHNER, Franz, PEPERKO Aljoša, Inequalities for Hadamard products of matrices and operators

h) PEPERKO, Aljoša, Generalized  logaritmic convexity of eigenvectors

i) PEPERKO, Aljoša, Upper bounds for the spectral radius of Hadamard products

Submitted:

a) PEPERKO Aljoša, Logaritmic convexity of fixed points of stochastic kernel operators, submitted (preprint available at ResearchGate and arxiv)

b) PEPERKO, Aljoša, Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard products of positive kernel operators, submitted (preprint available at ResearchGate and arxiv)

Published:

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 3 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 7 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 1 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 1 clear citation

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 2 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.

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)

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

15. MÜLLER, Vladimir, PEPERKO, Aljoša, On the Bonsall cone spectral radius and the approximate point spectrum, to appear in Discrete and Continuous Dynamical Systems – Series A, vol. 37, no 10. (October 2017), 5337–5364, (preprint available at ResearchGate and arxiv), in the beginning of July 2017 the article is freely available at http://aimsciences.org/journals/contentsListnew.jsp?pubID=973

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, open Access until September 29th2017 at https://authors.elsevier.com/a/1VX775YnCT-vO (also preprint is available at ResearchGate and arxiv)

CITATIONS : at least 15 clear citations + at least 1 clear citation in Math Reviews + at least 2 clear citations outside MathSciNet

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)

REVIEWER and REFEREE for: Math Reviews; Lin. Alg. Appl., Banach. J. Math. Anal., Linear  Mult. Alg.,  J. of Diff. Eq.  Appl., Ars Mathematica Contemporanea, Journal of Mech. Engin., …

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

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]

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 2015

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.

SUPERVISOR or CO-SUPEVISOR:

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 

 

 At Research Gate: https://www.researchgate.net/profile/Aljosa_Peperko