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Chess championships are often organised as a Swiss-system tournament, causing great challenges in ranking the participants due to the different strength of schedules and possible circular triads. The paper suggests that pairwise comparison…

Applications · Statistics 2016-11-03 Lászlo Csató

A simple relation is introduced for concurrence to describe how much the entanglement of bipartite system is at least left if either (or both) subsystem undergoes an arbitrary physical process. This provides a lower bound for concurrence of…

Quantum Physics · Physics 2009-11-13 Chang-shui Yu , X X Yi , He-shan Song

The number of ribosomes in a cell is considered as limiting, and gene expression is thus largely determined by their cellular concentration. In this work we develop a toy model to study the trade-off between the ribosomal supply and the…

Subcellular Processes · Quantitative Biology 2020-02-19 Pascal S. Rogalla , Timothy J. Rudge , Luca Ciandrini

We explore novel connections between antimatroids and matchings in bipartite graphs. In particular, we prove that a combinatorial structure induced by stable matchings or maximum-weight matchings is an antimatroid. Moreover, we demonstrate…

Combinatorics · Mathematics 2018-09-12 Yasushi Kawase , Yutaro Yamaguchi

It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with…

Optimization and Control · Mathematics 2025-03-12 Tobias Holicki , Jonas Nicodemus , Paul Schwerdtner , Benjamin Unger

We give an explicit description of the poset of cells of Bergman complexes of Lattice Path Matroids and establish a criterion for its simpliciality, in terms of the shape of the bounding paths.

Combinatorics · Mathematics 2015-08-21 Emanuele Delucchi , Martin Dlugosch

Multienzyme cascaded reactions are widely utilized because they can generate value-added biomaterials and biodevices from simple raw materials. However, how to promote the catalytic efficiency and synergistic effect of the multienzyme…

Biological Physics · Physics 2021-01-27 Zhexu Xi

This publication reviews the framework of abstract competition, which is aimed at studying complex systems with competition in their generic form. Although the concept of abstract competition has been derived from a specific field -…

Adaptation and Self-Organizing Systems · Physics 2013-05-28 A. Y. Klimenko

According to contemporary views, equilibrium constant is relevant only to true thermodynamic equilibria in isolated systems with one chemical reaction. The paper presents a novel formula that ties-up equilibrium constant and chemical system…

Chemical Physics · Physics 2008-02-11 B. Zilbergleyt

This research proposes the econophysics kinetic market model as an evolutionary algorithm's instance. The immediate results from this proposal is a new replacement rule for family competition genetic algorithms. It also represents a…

Neural and Evolutionary Computing · Computer Science 2019-06-05 Evandro Luquini , Nizam Omar

We present a thermodynamically consistent model describing the dynamics of a multi-component mixture where one enzyme component catalyzes a reaction between other components. We find that the catalytic activity alone can induce phase…

Biological Physics · Physics 2022-10-05 Matthew W. Cotton , Ramin Golestanian , Jaime Agudo-Canalejo

An activated process consists of energy activation and barrier crossing; the former is a prerequisite for the latter. Barrier crossing has been studied extensively, but energy activation has been overlooked due to a lack of means to gauge…

Biological Physics · Physics 2020-07-31 Shanshan Wu , Ao Ma

We present a method to simplify expressions in the context of an equational theory. The basic ideas and concepts of the method have been presented previously elsewhere but here we tackle the difficult task of making it efficient in…

Logic in Computer Science · Computer Science 2020-03-16 Baudouin Le Charlier

Various simplicial complexes can be associated with a graph. Box complexes form an important families of such simplicial complexes and are especially useful for providing lower bounds on the chromatic number of the graph via some of their…

Combinatorics · Mathematics 2024-01-05 Hamid Reza Daneshpajouh , Frédéric Meunier

We study the algebraic structure of the eigenvalues of a Hamiltonian that corresponds to a many-body fermionic system. As the Hamiltonian is quadratic in fermion creation and/or annihilation operators, the system is exactly integrable and…

General Mathematics · Mathematics 2020-11-11 Xindong Wang , Alex Shulman

We propose an exactly soluble W*-dynamical system generated by repeated harmonic perturbations of the one-mode quantum oscillator. In the present paper we deal with the case of isolated system. Although dynamics is Hamiltonian and…

Functional Analysis · Mathematics 2014-04-14 Hiroshi Tamura , Valentin Zagrebnov

This article is an attempt to provide a link between the quantum nonequilibrium dynamics of cold gases and fifty years of progress in the lowdimensional quantum chaos. We identify two atomic systems lying on the interface: two interacting…

Quantum Gases · Physics 2015-05-19 Cavan Stone , Yassine Ait El Aoud , Vladimir A Yurovsky , Maxim Olshanii

Bayesian persuasion is a model for understanding strategic information revelation: an agent with an informational advantage, called a sender, strategically discloses information by sending signals to another agent, called a receiver. In…

Computer Science and Game Theory · Computer Science 2021-12-14 Kaito Fujii , Shinsaku Sakaue

An integrable Hamiltonian system presents monodromy if the action-angle variables cannot be defined globally. As a prototype of classical monodromy with azimuthal symmetry, we consider a linear molecule interacting with external fields and…

Mathematical Physics · Physics 2022-04-06 Juan J. Omiste , Rosario González-Férez , Rafael Ortega

We consider the motion of a damped particle in a potential oscillating slowly between a simple and a double well. The system displays hysteresis effects which can be of periodic or chaotic type. We explain this behaviour by computing an…

chao-dyn · Physics 2010-12-09 N. Berglund , H. Kunz