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This paper provides a fresh perspective on the representation of distributive bilattices and of related varieties. The techniques of naturalduality are employed to give, economically and in a uniform way, categories ofstructures dually…

Rings and Algebras · Mathematics 2014-01-16 L. M. Cabrer , H. A. Priestley

We introduce proper display calculi for basic monotonic modal logic,the conditional logic CK and a number of their axiomatic extensions. These calculi are sound, complete, conservative and enjoy cut elimination and subformula property. Our…

We introduce the notion of mean viability for controlled stochastic differential equations and establish counterparts of Nagumo's classical viability theorems (necessary and sufficient conditions for mean viability). As an application, we…

Analysis of PDEs · Mathematics 2024-03-25 Christian Keller

We identify the linear space spanned by the real-valued excessive functions of a Markov process with the set of those functions which are quasimartingales when we compose them with the process. Applications to semi-Dirichlet forms are…

Probability · Mathematics 2017-09-07 Iulian Cîmpean , Lucian Beznea

We show how the language of Krivine's classical realizability may be used to specify various forms of nondeterminism and relate them with properties of realizability models. More specifically, we introduce an abstract notion of…

Logic in Computer Science · Computer Science 2018-06-22 Guillaume Geoffroy

We propose an extension of the classical $\Lambda$-Fleming-Viot model to intrinsically varying population sizes. During events, instead of replacing a proportion of the population, a random mass dies and a, possibly different, random mass…

Probability · Mathematics 2023-11-13 Julian Kern , Bastian Wiederhold

We show that being finitely presentable and being finitely presentable with solvable word problem are quasi-isometry invariants of finitely generated left cancellative monoids. Our main tool is an elementary, but useful, geometric…

Group Theory · Mathematics 2012-04-12 Robert D. Gray , Mark Kambites

The difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of various systems. Exactness of the bicomplex gives a…

Mathematical Physics · Physics 2026-04-21 Linyu Peng , Peter E. Hydon

Hybrid logic extends modal logic with special propositions called nominals, each of which is true at only one state in a model. This enables us to describe some properties of binary relations, such as irreflexivity and anti-symmetry, which…

Logic · Mathematics 2026-03-17 Yuki Nishimura

A class of models is presented, in the form of continuation monads polymorphic for first-order individuals, that is sound and complete for minimal intuitionistic predicate logic. The proofs of soundness and completeness are constructive and…

Logic · Mathematics 2014-11-04 Danko Ilik

We present distributions of countable models and correspondent structural characteristics of complete theories with continuum many types: for prime models over finite sets relative to Rudin-Keisler preorders, for limit models over types and…

Logic · Mathematics 2012-10-16 Roman A. Popkov , Sergey V. Sudoplatov

We give a sufficient condition for Kripke completeness of modal logics enriched with the transitive closure modality. More precisely, we show that if a logic admits what we call definable filtration (ADF), then such an expansion of the…

Logic · Mathematics 2020-11-05 Stanislav Kikot , Ilya Shapirovsky , Evgeny Zolin

The purpose of this article is to construct a toolbox, in Dynamical Systems, to support the idea that ``whenever we can prove a limit theorem in the classical sense for a dynamical system, we can prove a suitable almost-sure version based…

Dynamical Systems · Mathematics 2007-05-23 J-R Chazottes , S Gouezel

There exist multiple regression applications in engineering, industry and medicine where the outcomes follow an adaptive experimental design in which the next measurement depends on the previous observations, so that the observations are…

Statistics Theory · Mathematics 2025-02-21 Dennis Christensen , Emil Aas Stoltenberg , Nils Lid Hjort

We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with pair-copula constructions, and nest…

Mathematical Finance · Quantitative Finance 2018-01-19 Damien Ackerer , Thibault Vatter

In this paper we demonstrate that there exists a close relationship between quasi-exactly solvable quantum models and two special classes of classical dynamical systems. One of these systems can be considered a natural generalization of the…

High Energy Physics - Theory · Physics 2009-10-31 Dieter Mayer , Alexander Ushveridze , Zbigniew Walczak

In this paper we aim to present two general results regarding, on one hand, the openness stability of set-valued maps and, on the other hand, the metric regularity behavior of the implicit multifunction related to a generalized variational…

Functional Analysis · Mathematics 2016-11-25 Marius Durea , Radu Strugariu

We provide a characterization of continuous semimartingales whose law is invariant with respect to predictable random rotations. In particular we prove that all such semimartingales are obtained by integrating a predictable process with…

Probability · Mathematics 2017-12-25 Francesco C. De Vecchi

This article develops a duality principle for a semi-linear model in micro-magnetism. The results are obtained through standard tools of convex analysis and the Legendre transform concept. We emphasize the dual variational formulation…

Optimization and Control · Mathematics 2017-12-14 Fabio Botelho

Several non-linear functions and machine learning methods have been developed for flexible specification of the systematic utility in discrete choice models. However, they lack interpretability, do not ensure monotonicity conditions, and…

Applications · Statistics 2021-12-07 Subodh Dubey , Oded Cats , Serge Hoogendoorn , Prateek Bansal
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