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Perturbation theory for evolution of cooperation on networks
Network structure is a mechanism for promoting cooperation in social dilemma games. In the present study, we explore graph surgery, i.e., to slightly...
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Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory
The multiphase Whitham modulation equations with N phases have 2 N characteristics which may be of hyperbolic or elliptic type. In this paper, a...
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Density Functional Kinetic Theory for Soft Matter
In the last decades kinetic theory has developed into a very elegant and effective framework to handle a broad spectrum of problems involving complex... -
Anomalous networks under the multispecies coalescent: theory and prevalence
Reticulations in a phylogenetic network represent processes such as gene flow, admixture, recombination and hybrid speciation. Extending definitions...
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Harry Kesten’s work in probability theory
We survey the published work of Harry Kesten in probability theory, with emphasis on his contributions to random walks, branching processes,...
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Scaling in the context of molecular dynamics simulations with ms2 and ls1 mardyn
This chapter covers scaling issues related to our recent work in the field of molecular dynamics simulations with a focus on computational details.... -
Gene Tree Parsimony in the Presence of Gene Duplication, Loss, and Incomplete Lineage Sorting
Inferring species trees from multi-locus data needs to account for gene tree discordance due to various biological processes, including incomplete... -
Spectral Methods in Representation Theory
This chapter deals with the Coxeter transformation associated with the Cartan matrix of a basic algebra. We relate Coxeter spectral properties to the... -
From rotating fluid masses and Ziegler’s paradox to Pontryagin- and Krein spaces and bifurcation theory
Four classical systems, the Kelvin gyrostat, the Maclaurin spheroids, the Brouwer rotating saddle, and the Ziegler pendulum have directly inspired... -
Non-Coupling from the Past
The method of ‘coupling from the past’ permits exact sampling from the invariant distribution of a Markov chain on a finite state space. The coupling... -
Review of Approximations for the Exchange-Correlation Energy in Density-Functional Theory
In this chapter, we provide a review of the ground-state Kohn–Sham density-functional theory of electronic systems and some of its extensions, we... -
Invariant theory of planar polynomial vector fields
The roots of the invariant theory of polynomial vector fields lie in the classical invariant theory. The idea to adapt to polynomial vector fields... -
Markov Jump Processes in Estimating Sharing of Identity by Descent
Identity by descent (IBD) sharing is a very important genomic feature in population genetics which can be used to reconstruct recent demographic...
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The Use and Abuse of Probability in Evolutionary Biology
Darwin’s publication of The Origin of Species in 1859 situated biology firmly within the “probabilistic revolution” in the history of science. One... -
From Friezes to Quasicrystals: A History of Symmetry Groups
Even if, since many thousands of years, humans were fascinated by symmetry, which is reflected in many preserved ornaments on buildings, paintings,... -
From Friezes to Quasicrystals: A History of Symmetry Groups
Even if, since many thousands of years, humans were fascinated by symmetry, which is reflected in many preserved ornaments on buildings, paintings,... -
A Stochastic Theory of Scale-Structural Fatigue and Structure Durability at Operational Loading
Here are discussed the results of numerous experimental and theoretical investigations of multicyclic fatigue multilevel processes at complex stress... -
The Use and Abuse of Probability in Evolutionary Biology
Darwin’s publication of The Origin of Species in 1859 situated biology firmly within the “probabilistic revolution” in the history of science. One... -
Numerical Approach to Simulation of Geometry Variation during Sintering of Ceramics Based on the Finite Element Method
AbstractSintering is a complex physical and mechanical process, which is one of the most important technological processes in powder metallurgy and...