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Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral...
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MCTDH-X: The Multiconfigurational Time-Dependent Hartree Method for Indistinguishable Particles High-Performance Computation Project
This report introduces the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X) high performance computation...
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Expressivity of Geometric Inhomogeneous Random Graphs—Metric and Non-metric
Recently there has been increased interest in fitting generative graph models to real-world networks. In particular, Bläsius et al. have proposed a...
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Decay of correlations for Fibonacci unimodal interval maps
We consider a class of generalized Fibonacci unimodal maps for which the central return times { s n } satisfy that s n = s ...
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Overview of Incorporating Nonlinear Functions into Recurrent Neural Network Models
This paper describes training recurrent neural networks (RNNs) which are able to learn features and long-range dependencies from sequential data....
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Dependence in constrained Bayesian optimization
Constrained Bayesian optimization optimizes a black-box objective function subject to black-box constraints. For simplicity, most existing works...
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Quantifying the Rationality of Rhythmic Signals
Rhythms and vibrations represent the quintessence of life, and they are ubiquitous (systemic) in all living systems. Recognising, unfolding these...
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Structural Semiotics as an Ontology of Mathematics
This paper introduces a minimalist framework for structuralist and post-structuralist semiotics based on the work of de Saussure, Lévi Strauss, and...
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On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics
Sampling from the q -state ferromagnetic Potts model is a fundamental question in statistical physics, probability theory, and theoretical computer...
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Taming correlations through entropy-efficient measure decompositions with applications to mean-field approximation
The analysis of various models in statistical physics relies on the existence of decompositions of measures into mixtures of product-like components,...
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Assessment of a Wall Distance Free Transition Model Based on the Laminar Kinetic Energy in a Discontinuous Galerkin Solver
Next generation solvers for Computational Fluid Dynamics (CFD) will be based on innovative numerical schemes and models. Where, the greater accuracy...
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Collective Motions of Atoms in Crystals
AbstractThe collective motions of atoms in the molecular dynamics model of a classical Lennard-Jones monocrystal are studied in the process of...
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Geostrophic Turbulence and the Formation of Large Scale Structure
This Chapter summarizes recent progress in understanding rapidly rotating convectively driven flows. The emphasis is on the behavior in extreme...
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Transport Properties of Composite Materials
Composite materials constitute a large class of natural or man-made disordered media, which includes granular materials, composite solids,...
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FPU Model and Toda Model: A Survey, a View
A huge amount of papers investigated, over more than 65 years, the Fermi–Pasta–Ulam problem. One of the leading ideas, present already in the early...
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Linear Dynamics of mRNA Expression and Hormone Concentration Levels in Primary Cultures of Bovine Granulosa Cells
Gene Regulatory Matrices (GRMs) are a well known technique for modelling the interactions between genes. This technique is used here, but with genes...
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Disturbances in a Three Dimensional Boundary Layer at Elevated Free Stream Turbulence
The experiments were devoted to the measurements in a three-dimensional boundary layer with negative streamwise pressure gradient at free-stream...