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One of the longstanding debates in the history of paleontology focuses on the issue of whether or not there have been long term cycles (operating over tens of millions of years) in biodiversity and extinction. Here we consider the history…

地球与行星天体物理 · 物理学 2012-06-11 B. S. Lieberman , A. L. Melott

The genetic diversity of a species is shaped by its recent evolutionary history and can be used to infer demographic events or selective sweeps. Most inference methods are based on the null hypothesis that natural selection is a weak or…

种群与进化 · 定量生物学 2013-03-05 Richard A. Neher , Oskar Hallatschek

The use of historical estimates in current studies is common in a wide variety of application areas. Nevertheless, despite their routine use the uncertainty associated with historical estimates is rarely properly accounted for in the…

统计方法学 · 统计学 2020-07-03 Ori Davidov , Tamas Rudas

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

种群与进化 · 定量生物学 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko

Background: Continuous traits evolution of a group of taxa that are correlated through a phylogenetic tree is commonly modelled using parametric stochastic differential equations to represent deterministic change of trait through time,…

种群与进化 · 定量生物学 2026-04-03 Bayu Brahmantio , Krzysztof Bartoszek , Etka Yapar

Historical sciences like evolutionary biology reconstruct past events by using the traces that the past has bequeathed to the present. The Markov Chain Convergence Theorem and the Data Processing Inequality describe how the mutual…

种群与进化 · 定量生物学 2023-06-22 Elliott Sober , Mike Steel

The incubation period of a disease is the time between an initiating pathologic event and the onset of symptoms. For typhoid fever, polio, measles, leukemia and many other diseases, the incubation period is highly variable. Some affected…

种群与进化 · 定量生物学 2017-06-01 Bertrand Ottino-Loffler , Jacob G. Scott , Steven H. Strogatz

For a branching process in random environment it is assumed that the offspring distribution of the individuals varies in a random fashion, independently from one generation to the other. For the subcritical regime a kind of phase transition…

A generic saddle-node bifurcation is proposed to modelize fast transitions of finite amplitude arising in geophysical (and perhaps other) contexts, when they result from the intrinsic dynamics of the system. The fast transition is…

混沌动力学 · 物理学 2012-09-10 Yves Pomeau , Martine Le Berre

Recent methods have been developed to map single-cell lineage statistics to population growth. Because population growth selects for exponentially rare phenotypes, these methods inherently depend on sampling large deviations from finite…

统计力学 · 物理学 2025-01-16 Trevor GrandPre , Ethan Levien , Ariel Amir

We study evolving genealogies, i.e. processes that take values in the space of (marked) ultra-metric measure spaces and satisfy some sort of "consistency" condition. This condition is based on the observation that the genealogical distance…

概率论 · 数学 2019-08-01 Max Grieshammer

Brown dwarfs, which straddle the mass range between stars and planets, appear to be common both in the solar neighborhood and in star-forming regions. Their ubiquity makes the question of their origin an important one both for our…

天体物理学 · 物理学 2007-05-23 Ray Jayawardhana

The concept of intermediate tail dependence is useful if one wants to quantify the degree of positive dependence in the tails when there is no strong evidence of presence of the usual tail dependence. We first review existing studies on…

统计方法学 · 统计学 2012-12-05 Lei Hua , Harry Joe

Recently, several methods have leveraged deep generative modeling to produce example-based explanations of image classifiers. Despite producing visually stunning results, these methods are largely disconnected from classical explainability…

机器学习 · 计算机科学 2025-09-11 Philipp Vaeth , Alexander M. Fruehwald , Benjamin Paassen , Magda Gregorova

We consider the evolution of domain walls produced during an anisotropic phase in the very early universe, showing that the resulting network can be very anisotropic. If the domain walls are produced during an inflationary era, the network…

天体物理学 · 物理学 2009-10-31 P. P. Avelino , C. J. A. P. Martins

Neutral evolution assumes that there are no selective forces distinguishing different variants in a population. Despite this striking assumption, many recent studies have sought to assess whether neutrality can provide a good description of…

种群与进化 · 定量生物学 2017-04-26 James P. O'Dwyer , Anne Kandler

We study the gaps between consecutive prime numbers directly through Eratosthenes sieve. Using elementary methods, we identify a recursive relation for these gaps and for specific sequences of consecutive gaps, known as constellations.…

数论 · 数学 2007-06-07 Fred B. Holt

Inferring causal effects on long-term outcomes using short-term surrogates is crucial to rapid innovation. However, even when treatments are randomized and surrogates fully mediate their effect on outcomes, it's possible that we get the…

统计方法学 · 统计学 2023-11-09 Aurélien Bibaut , Nathan Kallus , Simon Ejdemyr , Michael Zhao

Comparative and evolutive ecologists are interested in the distribution of quantitative traits among related species. The classical framework for these distributions consists of a random process running along the branches of a phylogenetic…

应用统计 · 统计学 2017-08-24 Paul Bastide , Mahendra Mariadassou , Stéphane Robin

Increasingly better observations of resolved protoplanetary disks show a wide range of conditions in which planets can be formed. Many transitional disks show gaps in their radial density structure, which are usually interpreted as…

地球与行星天体物理 · 物理学 2020-01-22 Germán Chaparro Molano , Frank Bautista , Yamila Miguel