doc. dr. Aljaž Zalar
Docent
Prostor:
R3.15 - Kabinet
Opis
https://zalara.github.io/
Projekti
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J1-60011 - Prirezani momentni problem prek realne algebraične geometrije
Raziskovalni projekti ARRS(J1-60011), 01.01.2025 - 31.12.2027
Zaključeni projekti
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ŠIPK 3 - Portal za kriptografijo in računalniško varnost
Projekti strukturnih skladov(ŠIPK 3), 15.06.2018 - 15.09.2018 -
ŠIPK 4 - Interaktivna e-knjiga Kriptografija
Projekti strukturnih skladov(ŠIPK 4), 01.04.2019 - 31.07.2019
Publikacije
- with I. Klep, K. Šivic: Cross-positive linear maps, sums of squares and positive polynomials, submitted.
- with T. Štrekelj: Construction of exceptional copositive matrices, submitted.
- with M. Omladič, M. Vuk: The final solution of the Hitchiker's problem #5, submitted.
- with S. Yoo: Bivariate Truncated Moment Sequences with the Column Relation XY=X^m + q(X), with q of degree m-1, submitted.
- with R. Nailwal: Moment theory approach to Gaussian quadratures with prescribed nodes, submitted.
- with M. Belšak, M. Omladič, M. Vuk: Extreme values of the mass distribution associated with d-quasi-copulas via linear programming, to appear in Fuzzy Sets and Systems.
- with R. Nailwal: The truncated univariate rational moment problem, Linear Algebra and its Applications 708 (2025) 280-301.
- with I. Klep, T. Štrekelj: A random copositive matrix is completely positive with positive probability, SIAM Journal on Applied Algebra and Geometry 8, 3 (2024) 583-611.
- with S. Yoo: The truncated moment problem on reducible cubic curves I: Parabolic and Circular type relations, Complex Anal. Oper. Theory. 18, 111 (2024) 54 pp.
- The truncated moment problem on curves y=q(x) and yx^ℓ=1, Linear and Multilinear Algebra (2023) 45 pp.
- The strong truncated Hamburger moment problem with and without gaps, J. Math. Anal. Appl. 516 (2022) 21 pp.
- The truncated moment problem on the union of parallel lines, Linear Algebra and its Applications 649 (2022) 186--239.
- The truncated Hamburger moment problems with gaps in the index set, Integ. Equ. Oper. Theory 93 (2021) 36 pp.
- with A. Bhardwaj: The tracial moment problem on quadratic varieties, J. Math. Anal. Appl. 498 (2021) 39 pp.
- with J. Cimprič: A local-global principle for linear dependence in enveloping algebras of Lie algebras, Linear Algebra and its Applications 596 (2020) 230-255.
- with I. Klep, S. McCullough, K. Šivic: There are many more positive maps than completely positive maps, Int. Math. Res. Not. 11 (2019) 3313-3375.
- with A. Bhardwaj: The singular bivariate quartic tracial moment problem, Complex Anal. Oper. Theory 12 (2018) 1057-1142.
- Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets, J. Math. Anal. Appl. 445 (2017) 32-80.
- Matrix Fejér-Riesz theorem with gaps, J. Pure Appl. Algebra 220 (2016) 2533-2548.
- Non-negative spectral measures and representations of C*-algebras, Integ. Equ. Oper. Theory 79 (2014) 219-242.
- with J. Cimprič: Moment problems for operator polynomials, J. Math. Anal. Appl. 401 (2013) 307-316.
- A note on a matrix version of the Farkas lemma, Comm. Algebra 40 (2012) 3420-3429.
Več
