Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Szulga, Jerzy"'
Autor:
Szulga, Jerzy
``Orderly divergence'' deals with limit theorems for weighted stochastic Gamma integrals of otherwise nonintegrable functions. Although for monotonic functions this category usually coincides with the classical notion of weighted limit theorems for s
Externí odkaz:
http://arxiv.org/abs/2405.20417
Autor:
Szulga, Jerzy
We discuss the Gamma Levy process, including path properties, the inverse process, integrability, and its spin-offs obtained by compounding, exponentiation, and other operations; further extendable to arbitrary sigma-finite continuous Borel spaces. A
Externí odkaz:
http://arxiv.org/abs/2405.13990
Autor:
Szulga, Jerzy
Operators acting on the discrete random chaos yield signed multiplicative systems, extending the notion of spin matrices and quaternions. We investigate signed groups through the associated sign matrices, focusing on generators and their replacements
Externí odkaz:
http://arxiv.org/abs/1705.09398
Autor:
Szulga, Jerzy
We study multiplicative systems of linear mappings acting on the toy Fock space, a.k.a.\ Rademacher chaos or Walsh-Fourier series, related to the creation, annihilation, and conservation operators in quantum probability. Like differential operators t
Externí odkaz:
http://arxiv.org/abs/1701.00789
Autor:
Jadczyk, Arkadiusz, Szulga, Jerzy
Publikováno v:
Electronic Journal of Linear Algebra, 2016, Volume 31, pp. 794-833
Elementary methods are used to examine some nontrivial mathematical issues underpinning the Lorentz transformation. Its eigen-system is characterized through the exponential of a $G$-skew symmetric matrix, underlining its unconnectedness at one of it
Externí odkaz:
http://arxiv.org/abs/1611.06379
Autor:
Jadczyk, Arkadiusz, Szulga, Jerzy
Publikováno v:
Reports on Mathematical Physics, 74(1), 2014, 39-44
We comment on the article by M. Ozdemir and M. Erdogdu. We indicate that the exponential map onto the Lorentz group can be obtained in two elementary ways. The first way utilizes a commutative algebra involving a conjugate of a semi-skew-symmetric ma
Externí odkaz:
http://arxiv.org/abs/1412.5581
Publikováno v:
Annals Prob., 22, (1994), 1745-1765
We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz norms), tail distribution
Externí odkaz:
http://arxiv.org/abs/math/9406214
Autor:
Szulga, Jerzy
We prove a number of decoupling inequalities for nonhomogeneous random polynomials with coefficients in Banach space. Degrees of homogeneous components enter into comparison as exponents of multipliers of terms of certain Poincar\'e-type polynomials.
Externí odkaz:
http://arxiv.org/abs/math/9211212
Akademický článek
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Publikováno v:
The Annals of Probability, 1994 Oct 01. 22(4), 1745-1765.
Externí odkaz:
https://www.jstor.org/stable/2244916