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The problem of estimating the probability of a random process reaching a certain level is well known. In this article, two-sided estimates are established for the probability that a regenerative process reaches a high level. Two auxiliary…

Probability · Mathematics 2025-10-29 Kateryna Akbash , Ivan Matsak , Oleg Zakusylo

We give characterizations of unital uniform topological algebras and saturated locally multiplicatively convex algebras by means of multiplicative linear functionals. Some automatic continuity theorems in advertibly complete uniform…

Functional Analysis · Mathematics 2014-01-03 M. El Azhari

We study the space spanned by the integer shifts of a bivariate Gaussian function and the problem of reconstructing any function in that space from samples scattered across the plane. We identify a large class of lattices, or more generally…

Functional Analysis · Mathematics 2024-08-07 José Luis Romero , Alexander Ulanovskii , Ilya Zlotnikov

A wide variety of vacua, and their cosmological realization, may provide an explanation for the apparently anthropic choices of some parameters of particle physics and cosmology. If the probability on various parameters is weighted by…

High Energy Physics - Theory · Physics 2008-11-26 Lawrence J. Hall , Taizan Watari , T. T. Yanagida

We develop a model of social learning from overabundant information: Short-lived agents sequentially choose from a large set of (flexibly correlated) information sources for prediction of an unknown state. Signal realizations are public. We…

Computer Science and Game Theory · Computer Science 2018-06-20 Annie Liang , Xiaosheng Mu

Subgroup analysis evaluates treatment effects across multiple sub-populations. When subgroups are defined by latent memberships inferred from imperfect measurements, the analysis typically involves two inter-connected models, a latent class…

Methodology · Statistics 2026-01-05 Yuanhui Luo , Xinzhou Guo , Yuqi Gu

This is the first in a series of papers where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ``global confor- mal invariants"; these are defined to be conformally invariant integrals of geometric scalars.…

Differential Geometry · Mathematics 2009-12-18 Spyros Alexakis

We prove an iteration theorem which guarantees for a wide class of nice iterations of $\omega_1$-preserving forcings that $\omega_1$ is not collapse, at the price of needing large cardinals to burn as fuel. More precisely, we show that a…

Logic · Mathematics 2024-03-15 Andreas Lietz

We consider the vanishing ideal of an arrangement of linear subspaces in a vector space and investigate when this ideal can be generated by products of linear forms. We introduce a combinatorial construction (blocker duality) which yields…

Combinatorics · Mathematics 2012-01-25 Anders Björner , Irena Peeva , Jessica Sidman

The normal forms of different one- and two- parametric solutions of Thirring model are connected with each other by making use of generalized conformal shift transformations. A new alternative sources of superselection rules are shown and…

High Energy Physics - Theory · Physics 2015-06-11 S. E. Korenblit , V. V. Semenov

Higher order automorphic forms have recently been introduced to study important questions in number theory and mathematical physics. We investigate the connection between these functions and Chen's iterated integrals. Then using Chen's…

Number Theory · Mathematics 2008-03-19 Nikolaos Diamantis , Ramesh Sreekantan

The topological entropy of various gap-sets on periodic-like recurrence and Birkhoff regularity were considered in [69] but some Banach recurrence and Lyapunov regularity are not considered. In this paper we introduce five new levels on…

Dynamical Systems · Mathematics 2019-07-23 Yu Huang , Xueting Tian , Xiaoyi Wang

We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson-Lie deformation of the principal chiral model.

Mathematical Physics · Physics 2015-06-18 C. Klimcik

We investigate the class of models of a general dependent theory. We continue math.LO/0702292 in particular investigating so called "decomposition of types"; thesis is that what holds for stable theory and for Th(Q,<) hold for dependent…

Logic · Mathematics 2012-02-28 Saharon Shelah

We shall generalize the notion of a Laver table to algebras which may have many generators, several fundamental operations, fundamental operations of arity higher than 2, and to algebras where only some of the operations are…

Logic · Mathematics 2018-12-10 Joseph Van Name

We classify Lagrangian submanifolds of complex space forms, whose second fundamental form can be written in a certain way, depending on a real parameter. For some special values of this parameter, the resulting submanifolds are ideal in the…

Differential Geometry · Mathematics 2013-09-18 Bang-Yen Chen , Joeri Van der Veken , Luc Vrancken

Simulations are used to determine the effect of inertia on athermal shear of a two-dimensional binary Lennard-Jones glass. In the quasistatic limit, shear occurs through a series of rapid avalanches. The distribution of avalanches is…

Soft Condensed Matter · Physics 2013-09-04 K. Michael Salerno , Craig E. Maloney , Mark O. Robbins

The extra dimensional defects that are introduced to generate the lattice chiral zero modes are not simply a computational trick, but have interesting physical consequences. After reviewing what is known about the layered phase they can…

High Energy Physics - Lattice · Physics 2014-11-18 S. Nicolis

Statically indeterminate systems are experimentally demonstrated to be in fact dynamical at the microscopic scale. Take the classic ladder-wall problem, for instance. Depending on the Young's modulus of the wall, it may take up to twenty…

Soft Condensed Matter · Physics 2022-11-09 Jr-Jiun Lin , Chi-Chun Cheng , Yu-Chuan Cheng , Jih-Chiang Tsai , Tzay-Ming Hong

The CHY representation of scattering amplitudes is based on integrals over the moduli space of a punctured sphere. We replace the punctured sphere by a double-cover version. The resulting scattering equations depend on a parameter $\Lambda$…

High Energy Physics - Theory · Physics 2016-06-23 Humberto Gomez
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