Results 11 to 20 of about 81 (73)

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Debiasing piecewise deterministic Markov process samplers using couplings

Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 1932-1974, December 2025.
Abstract Monte Carlo methods—such as Markov chain Monte Carlo (MCMC) and piecewise deterministic Markov process (PDMP) samplers—provide asymptotically exact estimators of expectations under a target distribution. There is growing interest in alternatives to this asymptotic regime, in particular in constructing estimators that are exact in the limit of ...
Adrien Corenflos, Matthew Sutton, Nicolas Chopin   +2 more
wiley   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

Correlations of the squares of the Riemann zeta function on the critical line

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
wiley   +1 more source

Some results on degenerate Fubini and degenerate Bell polynomials [PDF]

, 2022
Taekyun Kim, Dae San Kim
openalex   +3 more sources

Probabilistic degenerate central Bell polynomials

Mathematical and Computer Modelling of Dynamical Systems
Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as ...
Li Chen, Taekyun Kim, Dae San Kim, Hyunseok Lee, Si-Hyeon Lee   +4 more
doaj   +1 more source

Regularity of the SLE4 uniformizing map and the SLE8 trace

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias, Jason Miller, Lukas Schoug   +2 more
wiley   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source

Mixed orthogonality graphs for continuous‐time state space models and orthogonal projections

Journal of Time Series Analysis, Volume 46, Issue 4, Page 692-726, July 2025.
In this article, we derive (local) orthogonality graphs for the popular continuous‐time state space models, including in particular multivariate continuous‐time ARMA (MCARMA) processes. In these (local) orthogonality graphs, vertices represent the components of the process, directed edges between the vertices indicate causal influences and undirected ...
Vicky Fasen‐Hartmann, Lea Schenk
wiley   +1 more source