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We study the statistical properties of stochastic evolution equations driven by space-only noise, either additive or multiplicative. While forward problems, such as existence, uniqueness, and regularity of the solution, for such equations…

Statistics Theory · Mathematics 2019-04-05 Igor Cialenco , Hyun-Jung Kim , Sergey V. Lototsky

Despite the increase in observational data on exoplanets, the processes that lead to the formation of planets are still not well understood. But thanks to the high number of known exoplanets, it is now possible to look at them as a…

Earth and Planetary Astrophysics · Physics 2015-06-22 C. Mordasini , P. Mollière , K. -M. Dittkrist , S. Jin , Y. Alibert

In spite of the great effort made in the last decades to improve our understanding of stellar evolution, significant uncertainties still remain due to our poor knowledge of some complex physical processes that still require an empirical…

Solar and Stellar Astrophysics · Physics 2015-06-12 Alessandro Bressan , Paola Marigo , Leo Girardi , Ambra Nanni , Stefano Rubele

Among the various methods used to age-date stars, methods based on stellar model predictions are widely used, for nearly all kind of stars in large ranges of masses, chemical compositions and evolutionary stages. The precision and accuracy…

Solar and Stellar Astrophysics · Physics 2015-06-23 Yveline Lebreton , Marie-Jo Goupil , J. Montalban

The limiting stability of invariant probability measures of time homogeneous transition semigroups for autonomous stochastic systems has been extensively discussed in the literature. In this paper we initially initiate a program to study…

Analysis of PDEs · Mathematics 2022-03-25 Renhai Wang , Tomas Caraballo , Nguyen Huy Tuan

We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and symmetry axes. These restrictions are formulated in terms…

Analysis of PDEs · Mathematics 2017-09-22 Gabriele Bruell , Mats Ehrnstrom , Anna Geyer , Long Pei

Mass changes due to strong stellar winds and binary mass transfer have a dramatic impact on the consequent evolution of stars. This is generally not accounted for in population synthesis codes which are built using single star evolution…

Solar and Stellar Astrophysics · Physics 2025-03-25 Natalie R. Rees , Robert G. Izzard , David D. Hendriks

We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. It is a new…

Analysis of PDEs · Mathematics 2007-05-23 Stephane Genieys , Vitaly Volpert , Pierre Auger

We present a large and updated stellar evolution database for low-, intermediate- and high-mass stars in a wide metallicity range, suitable for studying Galactic and extragalactic simple and composite stellar populations using population…

Astrophysics · Physics 2009-11-10 A. Pietrinferni , S. Cassisi , M. Salaris , F. Castelli

Evolutionary game theory has become one of the most diverse and far reaching theories in biology. Applications of this theory range from cell dynamics to social evolution. However, many applications make it clear that inherent…

Populations and Evolution · Quantitative Biology 2014-04-08 Chaitanya S. Gokhale , Arne Traulsen

Evolutionary complexity is here measured by the number of trials/evaluations needed for evolving a logical gate in a non-linear medium. Behavioural complexity of the gates evolved is characterised in terms of cellular automata behaviour. We…

Neural and Evolutionary Computing · Computer Science 2010-11-23 Andy Adamatzky , Larry Bull

The evolution of multicellularity was a major transition in the history of life on earth. Conditions under which multicellularity is favored have been studied theoretically and experimentally. But since the construction of a multicellular…

Populations and Evolution · Quantitative Biology 2018-03-19 Jason Olejarz , Kamran Kaveh , Carl Veller , Martin A. Nowak

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and…

chao-dyn · Physics 2009-10-31 Kunihiko Kaneko , Chikara Furusawa

The computation of theoretical pulsar populations has been a major component of pulsar studies since the 1970s. However, the majority of pulsar population synthesis has only regarded isolated pulsar evolution. Those that have examined…

Astrophysics · Physics 2009-11-13 Paul Kiel , Jarrod Hurley , Matthew Bailes , James Murray

We extend our study of a simple model of biological coevolution to its statistical properties. Staring with a complete description in terms of a master equation, we provide its relation to the deterministic evolution equations used in…

Populations and Evolution · Quantitative Biology 2007-05-23 R. K. P. Zia , Per Arne Rikvold

We study a fundamental issue in cosmology: Whether we can rely on a cosmological model to understand the real history of the Universe. This fundamental, still unresolved issue is often called the ``model-fitting problem (or averaging…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Masafumi Seriu

As a tool to interpret nearby and high redshift galaxy data from optical to K-band we present our chemically consistent spectrophotometric evolutionary synthesis models. These models take into account the increasing initial metallicity of…

Astrophysics · Physics 2009-10-31 C. S. Möller , U. Fritze-v. Alvensleben , K. J. Fricke , D. Calzetti

The idea that there are any large-scale trends in the evolution of biological organisms is highly controversial. It is commonly believed, for example, that there is a large-scale trend in evolution towards increasing complexity, but…

Neural and Evolutionary Computing · Computer Science 2021-06-08 Peter D. Turney

The observable characteristics and subsequent evolution of young stellar populations is dominated by their massive stars. As our understanding of those massive stars and the factors affecting their evolution improves, so our interpretation…

Astrophysics of Galaxies · Physics 2022-09-28 Jan J. Eldridge , Elizabeth R. Stanway

The now classical replicator equation describes a wide variety of biological phenomena, including those in theoretical genetics, evolutionary game theory, or in the theories of the origin of life. Among other questions, the permanence of…

Populations and Evolution · Quantitative Biology 2016-03-21 Alexander S. Bratus , Vladimir P. Posvyanskii , Artem S. Novozhilov