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Justification theory is a unifying framework for semantics of non-monotonic logics. It is built on the notion of a justification, which intuitively is a graph that explains the truth value of certain facts in a structure. Knowledge…

Logic in Computer Science · Computer Science 2019-05-16 Simon Marynissen

The question of why we age is a fundamental one. It is about who we are, and it also might have critical practical aspects as we try to find ways to age slower. Or to not age at all. Different reasons point at distinct strategies for the…

Populations and Evolution · Quantitative Biology 2020-11-10 André C. R. Martins

We present a lattice of distributed program specifications, whose ordering represents implementability/refinement. Specifications are modelled by families of subsets of relative execution traces, which encode the local orderings of state…

Logic in Computer Science · Computer Science 2023-04-25 Nasos Evangelou-Oost , Callum Bannister , Ian J. Hayes

Ordered item response models that are in common use can be divided into three groups, cumulative, sequential and adjacent categories model. The derivation and motivation of the models is typically based on the assumed presence of latent…

Methodology · Statistics 2019-06-11 Gerhard Tutz

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects in a linear habitat, we consider a one-dimensional grid of cells, where each…

Populations and Evolution · Quantitative Biology 2021-03-16 Sunhee Chae , Nahyeon Lee , Seung Ki Baek , Hyeong-Chai Jeong

Our aim is to find some new links between linear (circular) orderability of groups and topological dynamics. We suggest natural analogs of the concept of algebraic orderability for topological groups involving order-preserving actions on…

Dynamical Systems · Mathematics 2022-09-29 Michael Megrelishvili

In the study of discrete dynamical systems, we typically start with a function from a space into itself, and ask questions about the properties of sequences of iterates of the function. In this paper we reverse the direction of this study.…

Dynamical Systems · Mathematics 2019-07-26 Daniel A. Nicks , David J. Sixsmith

This survey focuses on the most important aspects of the mathematical theory of population genetic models of selection and migration between discrete niches. Such models are most appropriate if the dispersal distance is short compared to…

Populations and Evolution · Quantitative Biology 2019-12-13 Reinhard Bürger

We study intergenerational transfers of income. In our stylized model, each generation in an infinite (but countable) stream is endowed with some income. An allocation rule associates with each infinite stream another stream, thus involving…

Theoretical Economics · Economics 2026-03-11 Encarnación Algaba , Juan D. Moreno-Ternero , Eric Rémila , Philippe Solal

A new totally algebraic formalism based on general, abstract ladder operators has been proposed. This approach heavily grounds in the superoperator formalism of Primas. However it is necessary to introduce many improvements in his…

Quantum Physics · Physics 2016-08-15 Ary W. Espinosa Müller , Adelio R. Matamala Vásquez

We study the analyticity of the semigroups generated by some classes of degenerate second order differential operators in the space of continuous function on a domain with corners. These semigroups arise from the theory of dynamics of…

Functional Analysis · Mathematics 2013-01-24 Angela A. Albanese , Elisabetta M. Mangino

Dynamics with choice is a generalization of discrete-time dynamics where instead of the same evolution operator at every time step there is a choice of operators to transform the current state of the system. This notion is new and…

Dynamical Systems · Mathematics 2008-07-03 Lev Kapitanski , Sanja Živanović

We show that the first order theory of the lattice of open sets in some natural topological spaces is $m$-equivalent to second order arithmetic. We also show that for many natural computable metric spaces and computable domains the first…

Logic · Mathematics 2023-06-22 Oleg Kudinov , Victor Selivanov

Problems related to projections on closed convex cones are frequently encountered in optimization theory and related fields. To study these problems, various unifying ideas have been introduced, including asymmetric vector-valued norms and…

Optimization and Control · Mathematics 2022-04-11 Jani Jokela

A hierarchical structure describing the inter-relationships of species has long been a fundamental concept in systematic biology, from Linnean classification through to the more recent quest for a 'Tree of Life.' In this paper we use an…

Populations and Evolution · Quantitative Biology 2009-08-21 Andreas Dress , Vincent Moulton , Mike Steel , Taoyang Wu

A family of algebraic surfaces with many nondegenerate real singularities is introduced with the help of a construction, which has been used in previous works for the generation of substitution tilings.

Mathematical Physics · Physics 2011-11-08 J. G. Escudero

Ordering theorems, characterizing when partial orders of a group extend to total orders, are used to generate hypersequent calculi for varieties of lattice-ordered groups (l-groups). These calculi are then used to provide new proofs of…

Logic · Mathematics 2017-08-03 Almudena Colacito , George Metcalfe

We prove special cases of a general conjecture: If an invertible field theory admits a projectively topological boundary theory, then it has finite order in the abelian group of invertible field theories. One can substitute `gapped' for…

High Energy Physics - Theory · Physics 2024-08-28 Clay Córdova , Daniel S. Freed , Constantin Teleman

We introduce some new generalized stochastic orderings (in the spirit of relative ageing) which compare probability distributions with the exponential distribution. These orderings are useful to understand the phenomenon of positive ageing…

Applications · Statistics 2014-10-21 Nil Kamal Hazra , Asok K. Nanda

We illustrate the principle: rational generating series occuring in arithmetic geometry are motivic in nature.

Number Theory · Mathematics 2007-05-23 J. Denef , F. Loeser