Results 11 to 20 of about 102 (99)
Enriched Pitman-Yor processes. [PDF]
Scand Stat Theory ApplAbstract Bayesian non‐parametrics has evolved into a broad area encompassing flexible methods for Bayesian inference, combinatorial structures, tools for complex data reduction, and more. Discrete prior laws play an important role in these developments, and various choices are available nowadays.
Rigon T, Petrone S, Scarpa B.
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Freezing limits for Calogero–Moser–Sutherland particle models
Studies in Applied Mathematics, Volume 151, Issue 4, Page 1230-1281, November 2023., 2023 Abstract One‐dimensional interacting particle models of Calogero–Moser–Sutherland type with N particles can be regarded as diffusion processes on suitable subsets of RN$\mathbb {R}^N$ like Weyl chambers and alcoves with second‐order differential operators as generators of the transition semigroups, where these operators are singular on the boundaries ...
Michael Voit
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Statistica Neerlandica, Volume 77, Issue 4, Page 429-443, November 2023., 2023 We propose a new class of goodness‐of‐fit tests for the logistic distribution based on a characterization related to the density approach in the context of Stein's method. This characterization‐based test is a first of its kind for the logistic distribution. The asymptotic null distribution of the test statistic is derived and it is shown that the test
James S. Allison +2 more
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Journal of the London Mathematical Society, Volume 108, Issue 1, Page 273-308, July 2023., 2023 Abstract We study the finite‐temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as well as a discrete version of the integro‐differential Painlevé II equation of Amir–Corwin–Quastel, and we compute initial conditions for the Poissonization parameter
Mattia Cafasso, Giulio Ruzza
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Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices
Communications on Pure and Applied Mathematics, Volume 76, Issue 5, Page 946-1034, May 2023., 2023 Abstract We consider large non‐Hermitian random matrices X with complex, independent, identically distributed centred entries and show that the linear statistics of their eigenvalues are asymptotically Gaussian for test functions having derivatives. Previously this result was known only for a few special cases; either the test functions were required ...
Giorgio Cipolloni +2 more
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Theoretical and numerical studies of fractional conformable stochastic integrodifferential equations are introduced in this study. Herein, to emphasize the solution’s existence, we provide proof based on Picard iterations and Arzela−Ascoli’s theorem, whilst the proof of the uniqueness mainly depends on the famous Gronwall’s inequality.
Haneen Badawi +3 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed‐point theorem (SFPT) related to the method of measure of noncompactness (MNC ...
Xiangling Li +5 more
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 On the basis of the generation, evolution, and development of the basic power supply enterprise’s financial core competence, this article determines the connotation and essence of the basic power supply enterprise’s financial core competence, so as to play a guiding role in fully and correctly grasping the basic power supply enterprise financial core ...
Zhenyu Yao, Ning Cao
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One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
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, 2012 Added: one reference and few comments.International audienceThese expository notes are centered around the circular law theorem, which states that the empirical spectral distribution of a nxn random matrix with i.i.d. entries of variance 1/n tends to the
Bordenave, Charles, Chafai, Djalil
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