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This work focuses on the formation of mating aggregates in zooplankton. In particular, sexual encounters are behaviourally supported by males actively swimming in search for females, and approaching them for mating once they are found.…

Populations and Evolution · Quantitative Biology 2022-05-19 Ron Shnapp , François-Gaël Michalec , Markus Holzner

In this article, we explain the reason of the apparent contradiction between recent experiments [1] and [2] and earlier theoretical predictions [3] of strongly asymmetric condensate resulting in attractive interaction between the condensate…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Hulin Yang , Gang Li , Haichen Jia , Artem Abanov , Valery Pokrovsky

We prove Minding's Theorem for $C^2$-immersions with constant negative Gauss curvature. As a Corollary we also prove Minding's Theorem for $C^{1M}$-immersions in the sense of \cite{DS}.

Differential Geometry · Mathematics 2013-06-28 Josef F. Dorfmeister , Ivan Sterling

A new proof following a suggestion of Kaplansky to use a result of Dixmier, and in this way avoid unbounded nets of operators, is given of the Kaplansky density theorem.

Operator Algebras · Mathematics 2024-10-08 George A. Elliott , Charles J. K. Griffin

We upgrade [1] to a complete proof of the conjecture NP = PSPACE. [1]: L. Gordeev, E. H. Haeusler, Proof Compression and NP Versus PSPACE, Studia Logica (107) (1): 55-83 (2019)

Logic in Computer Science · Computer Science 2022-01-11 Lev Gordeev

We prove a uniformization theorem in complex algebraic geometry.

Algebraic Geometry · Mathematics 2010-08-11 Robert Treger

We study the condensed phase of a Bose-Fermi mixture with a tunable pairing interaction between bosons and fermions with many-body diagrammatic methods and fixed-node diffusion Quantum Monte Carlo simulations. A universal behavior of the…

Quantum Gases · Physics 2015-02-10 Andrea Guidini , Gianluca Bertaina , Davide Emilio Galli , Pierbiagio Pieri

We derive mixing properties for a broad class of Poisson count time series satisfying a certain contraction condition. Using specific coupling techniques, we prove absolute regularity at a geometric rate not only for stationary…

Probability · Mathematics 2021-04-08 Paul Doukhan , Anne Leucht , Michael H Neumann

A combinatorial proof of a pigeonhole principle of Gowers is found along with its symmetric and approximate version, FIN$_k^\pm$ theorem. The proofs do not use of the concept of ultrafilter.

Combinatorics · Mathematics 2019-10-04 Ryszard Frankiewicz , Sławomir Szczepaniak

This paper shows that mixed multiplicities and the multiplicity of Rees modules of good filtrations and that of their reductions are the same. As an application of this result, we obtain interesting results on mixed multiplicities and the…

Commutative Algebra · Mathematics 2019-06-04 Truong Thi Hong Thanh , Duong Quoc Viet

In this paper we prove another pairing theorem for bordered Floer homology. Unlike the original pairing theorem, this one is stated in terms of homomorphisms, not tensor products. The present formulation is closer in spirit to the usual…

Geometric Topology · Mathematics 2016-03-29 Robert Lipshitz , Peter S. Ozsváth , Dylan P. Thurston

In this note, we explain how to prove several basic results about finite index extensions of irreducible local M\"obius covariant nets in the setting of Connes fusion.

Operator Algebras · Mathematics 2025-07-21 Bin Gui

We prove some injectivity, torsion-free, and vanishing theorems for simple normal crossing pairs. Our results heavily depend on the theory of mixed Hodge structures on compact support cohomology groups. We also treat several basic…

Algebraic Geometry · Mathematics 2013-01-25 Osamu Fujino

In this paper we develop an axiomatic approach to coarse homology theories. We prove a uniqueness result concerning coarse homology theories on the category of `coarse CW-complexes'. This uniqueness result is used to prove a version of the…

Algebraic Topology · Mathematics 2014-10-01 Paul D. Mitchener

Several results about the union-closed sets conjecture are presented.

Combinatorics · Mathematics 2017-06-21 Yining Hu

We provide a simple proof for the union-closed sets conjecture, a long-standing open problem in set theory with immediate applications to graph theory, number theory, and order-theory.

Combinatorics · Mathematics 2016-07-08 Sven Schäge

The condensation transition, leading to complete mutual synchronization in large populations of globally coupled chaotic Roessler oscillators, is investigated. Statistical properties of this transition and the cluster structure of partially…

adap-org · Physics 2009-10-30 D. H. Zanette , A. S. Mikhailov

This paper offers a proof of the Coase theorem by formalizing the notion of ideal exchanges.

Theoretical Economics · Economics 2025-10-29 Daniel Lü

This paper compares theory and experiment for the kinetics of time-dependent sedimentation. We discuss non-interacting suspensions and colloids which may exhibit behavior similar to the one-dimensional motion of compressible gas. The…

Condensed Matter · Physics 2016-08-31 Sergei E. Esipov

This work is devoted to present Massera-type theorems for the Kawahara system, a higher order dispersive equation, posed in a bounded domain. Precisely, thanks to some properties of the semigroup and the decays of the solutions of this…

Analysis of PDEs · Mathematics 2023-05-26 Roberto de A. Capistrano-Filho , Isadora Maria de Jesus
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