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We gather evidence on a new local-global conjecture of Moret\'o and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many…

Group Theory · Mathematics 2025-10-01 Gunter Malle

We construct the law of L\'{e}vy processes conditioned to stay positive under general hypotheses. We obtain a Williams type path decomposition at the minimum of these processes. This result is then applied to prove the weak convergence of…

Probability · Mathematics 2016-08-16 Loïc Chaumont , Ron A. Doney

This paper is devoted to the study of reflected Stochastic Differential Equations when the constraint is not on the paths of the solution but acts on the law of the solution. These reflected equations have been introduced recently by…

Probability · Mathematics 2020-08-26 Philippe Briand , Paul-Éric Chaudru de Raynal , Arnaud Guillin , Céline Labart

We generalize the notion of semi-universality in the classical deformation problems to the context of derived deformation theories. A criterion for a formal moduli problem to be semi-prorepresentable is produced. This can be seen as an…

Algebraic Geometry · Mathematics 2023-09-27 An Khuong Doan

This paper develops Rio's method [C. R. Acad. Sci. Paris S\'{e}r. I Math., 1995] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variables. The method allows us to avoid using the Kolmogorov…

Probability · Mathematics 2022-08-02 Lê Vǎn Thành

We derive a strong law of large numbers, a central limit theorem, a law of the iterated logarithm and a large deviation theorem for so-called deviation means of independent and identically distributed random variables (for the strong law of…

Probability · Mathematics 2023-11-21 Matyas Barczy , Zsolt Páles

In this paper, we study the asymptotic error distribution for a two-level irregular discretization scheme of the solution to the stochastic differential equations (SDE for short) driven by a continuous semimartingale and obtain a central…

Probability · Mathematics 2025-12-15 Yi Guo , Yuxi Guo , Hanchao Wang

We characterize the semiclosed projections and apply them to compute the Schur complement of a selfadjoint operator with respect to a closed subspace. These projections occur naturally when dealing with weak complementability.

Functional Analysis · Mathematics 2021-04-21 Maximiliano Contino , Alejandra Maestripieri , Stefania Marcantognini

We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer…

Statistical Mechanics · Physics 2020-07-03 Themis Matsoukas

Semi-infinite programs are a class of mathematical optimization problems with a finite number of decision variables and infinite constraints. As shown by Blankenship and Falk (Blankenship and Falk. "Infinitely constrained optimization…

Optimization and Control · Mathematics 2020-09-21 Stuart M. Harwood , Dimitri J. Papageorgiou , Francisco Trespalacios

This paper establishes a new comparison principle for the minimum eigenvalue of a sum of independent random positive-semidefinite matrices. The principle states that the minimum eigenvalue of the matrix sum is controlled by the minimum…

Probability · Mathematics 2025-01-29 Joel A. Tropp

Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory.…

Functional Analysis · Mathematics 2018-06-20 Projesh Nath Choudhury , M. Rajesh Kannan , K. C. Sivakumar

Using a semiclassical ansatz we analytically predict for the fidelity of delta-kicked rotors the occurrence of revivals and the disappearance of intermediate revival peaks arising from the breaking of a symmetry in the initial conditions. A…

Quantum Physics · Physics 2009-09-30 Martina Abb , Italo Guarneri , Sandro Wimberger

In this paper, we study a class of quasi-invariant measures on paths generated by discrete dynamical systems. Our main result characterizes the subfamily of these measures which admit a certain desintegration. This is a desintegration with…

Classical Analysis and ODEs · Mathematics 2007-10-25 Dorin Ervin Dutkay , Palle E. T. Jorgensen

We present a practical scheme for the decomposition of a bipartite mixed state into a sum of direct products of local density matrices, using the technique developed in Li and Qiao (Sci. Rep. 8: 1442, 2018). In the scheme, the correlation…

Quantum Physics · Physics 2018-03-30 Jun-Li Li , Cong-Feng Qiao

In this paper, we study definably compact semigroups in o-minimal structures, aiming to extend the theory of definable groups to a broader algebraic setting. We show that any definably compact semigroup contains idempotents and admits a…

Logic · Mathematics 2025-07-28 Eduardo Magalhães

Using the concept of self-decomposable subordinators introduced in Gardini et al. [11], we build a new bivariate Normal Inverse Gaussian process that can capture stochastic delays. In addition, we also develop a novel path simulation scheme…

Computational Finance · Quantitative Finance 2020-11-10 Matteo Gardini , Piergiacomo Sabino , Emanuela Sasso

This paper investigates connections between discrete and continuous approaches for decomposable submodular function minimization. We provide improved running time estimates for the state-of-the-art continuous algorithms for the problem…

Machine Learning · Computer Science 2017-03-07 Alina Ene , Huy L. Nguyen , László A. Végh

As a kind of independence of random variables under sublinear expectations, pseudo-independence is weaker than Peng's independence. We shall give Marcinkiewicz-type weak and strong laws of large numbers for pseudo-independent random…

Probability · Mathematics 2025-05-01 Jialiang Fu

Let H be a pseudovariety of groups and DRH be the pseudovariety containing all finite semigroups whose regular R-classes belong to H. We study the relationship between reducibility of H and of DRH with respect to several particular classes…

Group Theory · Mathematics 2015-12-04 Célia Borlido
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