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The merging rate of cosmic structures is computed, relying on the Ansatz that they can be predicted in the initial linear density field from the coalescence of critical points with increasing smoothing scale, used here as a proxy for cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-28 Corentin Cadiou , Christophe Pichon , Sandrine Codis , Marcello Musso , Dmitri Pogosyan , Yohan Dubois , Jean-François Cardoso , Simon Prunet

We build a model to predict from first principles the properties of major mergers. We predict these from the coalescence of peaks and saddle points in the vicinity of a given larger peak, as one increases the smoothing scale in the initial…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-07 Corentin Cadiou , Eric Pichon-Pharabod , Christophe Pichon , Dmitri Pogosyan

Population genetics theory has laid the foundations for genomics analyses including the recent burst in genome scans for selection and statistical inference of past demographic events in many prokaryote, animal and plant species.…

Populations and Evolution · Quantitative Biology 2014-01-22 Aurelien Tellier , Christophe Lemaire

We apply recently developed inference methods based on general coalescent processes to DNA sequence data obtained from various marine species. Several of these species are believed to exhibit so-called shallow gene genealogies, potentially…

Populations and Evolution · Quantitative Biology 2012-11-06 Matthias Steinrücken , Matthias Birkner , Jochen Blath

We are interested in populations in which the fitness of different genetic types fluctuates in time and space, driven by temporal and spatial fluctuations in the environment. For simplicity, our population is assumed to be composed of just…

Probability · Mathematics 2018-12-21 Niloy Biswas , Alison Etheridge , Aleksander Klimek

Coalescents with multiple collisions, also known as $\Lambda$-coalescents, were introduced by Pitman and Sagitov in 1999. These processes describe the evolution of particles that undergo stochastic coagulation in such a way that several…

Probability · Mathematics 2011-11-09 Julien Berestycki , Nathanaël Berestycki , Jason Schweinsberg

We introduce a low dimensional function of the site frequency spectrum that is tailor-made for distinguishing coalescent models with multiple mergers from Kingman coalescent models with population growth, and use this function to construct…

Populations and Evolution · Quantitative Biology 2019-08-13 Jere Koskela

We construct an extension of the Lambda-coalescent to a spatial continuum and analyse its behaviour. Like the Lambda-coalescent, the individuals in our model can be separated into (i) a dust component and (ii) large blocks of coalesced…

Probability · Mathematics 2013-11-05 Nic Freeman

We derive the asymptotic behaviour of the genealogy of a logistic branching process in the setting where the equilibrium population size is large. In three regimes on the tail of the offspring distribution we recover the Kingman,…

Probability · Mathematics 2025-11-11 Ruairi Garrett , Julio Ernesto Nava Trejo

It is a well-established fact that massive cosmological objects exhibit a ``geometrical bias'' that boosts their spatial correlations with respect to the underlying mass distribution. Although this geometrical bias is a simple function of…

Astrophysics · Physics 2014-10-13 Evan Scannapieco , Robert J. Thacker

We use a novel statistical tool, the mark correlation functions (MCFs), to study clustering of galaxy-size halos as a function of their properties and environment in a high-resolution numerical simulation of the LambdaCDM cosmology. We…

The coalescent is a stochastic process representing ancestral lineages in a population undergoing neutral genetic drift. Originally defined for a well-mixed population, the coalescent has been adapted in various ways to accommodate spatial,…

Populations and Evolution · Quantitative Biology 2024-07-02 Benjamin Allen , Alex McAvoy

The first detection of gravitational waves from a merging double neutron star (DNS) binary implies a much higher rate of DNS coalescences in the local Universe than typically estimated on theoretical grounds. The recent study by Chruslinska…

High Energy Astrophysical Phenomena · Physics 2020-02-19 Martyna Chruslinska

We introduce a novel technique for empirically understanding galaxy evolution. We use empirically determined stellar evolution models to predict the past evolution of the Sloan Digital Sky Survey (SDSS-II) Luminous Red Galaxy (LRG) sample…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Rita Tojeiro , Will J. Percival

We present an analysis of the spatial distribution of various stellar populations within the Large and Small Magellanic Clouds. We use optically selected stellar samples with mean ages between ~9 and ~1000 Myr, and existing stellar cluster…

Astrophysics · Physics 2015-12-24 N. Bastian , M. Gieles , B. Ercolano , R. Gutermuth

We explore the effects of mergers on the evolution of massive early-type galaxies by modeling the evolution of their stellar populations in a hierarchical context. We investigate how a realistic red sequence population set up by z~1 evolves…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-15 Rosalind E. Skelton , Eric F. Bell , Rachel S. Somerville

A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can model a wide range of ecological interactions at the cost of…

Probability · Mathematics 2026-01-23 Mathilde André , Félix Foutel-Rodier , Emmanuel Schertzer

Studies of stellar populations, understood to mean collections of stars with common spatial, kinematic, chemical, and/or age distributions, have been reinvigorated during the last decade by the advent of large-area sky surveys such as SDSS,…

Astrophysics of Galaxies · Physics 2015-06-17 Zeljko Ivezic , Timothy C. Beers , Mario Juric

This is an introductory review to localization techniques in supersymmetric two-dimensional gauge theories. In particular we describe how to construct Lagrangians of N=(2,2) theories on curved spaces, and how to compute their partition…

High Energy Physics - Theory · Physics 2017-10-25 Francesco Benini , Bruno Le Floch

Motivated by models of cancer formation in which cells need to acquire $k$ mutations to become cancerous, we consider a spatial population model in which the population is represented by the $d$-dimensional torus of side length $L$.…

Probability · Mathematics 2020-01-07 Jasmine Foo , Kevin Leder , Jason Schweinsberg