Publications related to Conservative system

Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions

We establish two ergodic theorems which have among their corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of Pillai-Selberg, a theorem of Erd\H{o}s-Delange, the mean value theorem of Wi ...

2020

Macroscopic polarization in the nominally ergodic relaxor state of lead magnesium niobate

Dragan Damjanovic, Yang Li, Lukas Riemer, Kanghyun Chu, Brahim Dkhil

Macroscopic polarity and its dynamic response to external electric fields and temperature in the nominally ergodic relaxor phase of pristine lead magnesium niobate crystals and ceramics, Pb(Mg1/3Nb2/3)O3 (PMN), were investigated. Dynamic pyroelectric measu ...

2020

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Florian Karl Richter

We investigate how spectral properties of a measure-preserving system (X, B, mu, T) are reflected in the multiple ergodic averages arising from that system. For certain sequences a :N -> N, we provide natural conditions on the spectrum sigma (T) such that, ...

2019

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Florian Karl Richter

A set

R\subset \mathbb{N}

is called rational if it is well approximable by finite unions of arithmetic progressions, meaning that for every

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there exists a set

B=\bigcup _{i=1}^{r}a_{i}\mathbb{N}+b_{i}

, where $a_{1},\ldots ,a_ ...

2019

A generalization of Kátai's orthogonality criterion with applications

Florian Karl Richter

We study properties of arithmetic sets coming from multiplicative number theory and obtain applications in the theory of uniform distribution and ergodic theory. Our main theorem is a generalization of Kátai's orthogonality cri ...

2019

Rapid, Robust, and Relevant (R3) Reactivity Test for Supplementary Cementitious Materials

Karen Scrivener, Ruben Anton Snellings, François Henri Avet, Xuerun Li

Although supplementary cementitious materials (SCMs) are now commonly accepted and widely used, consensus has not been reached for methods to test their chemical reactivity. A multitude of test methods exist but often fall short on one or more of the key f ...

AMER CONCRETE INST2019

A Unified Framework for Coordinated Multi-Arm Motion Planning

Aude Billard, Nadia Barbara Figueroa Fernandez, Seyed Sina Mirrazavi Salehian

Coordination is essential in the design of dynamic control strategies for multi-arm robotic systems. Given the complexity of the task and dexterity of the system, coordination constraints can emerge from different levels of planning and control. Primarily, ...

2018

Disjointness for measurably distal group actions and applications

Florian Karl Richter

We generalize Berg's notion of quasi-disjointness to actions of countable groups and prove that every measurably distal system is quasi-disjoint from every measure preserving system. As a corollary we obtain easy to check necessary and sufficient condition ...

2017

Dynamical Behavior and Stability Analysis of Hydromechanical Gates

Paolo Perona, Fabian Alexander Bernhard

This study revisits the stability of hydromechanical gates for upstream water surface regulation, also known as AMIL gates. AMIL gates are used in irrigation canals, where they are often installed in series. From the regulation perspective, instabilities a ...

American Society of Civil Engineers2017

A Linear Programming Approach to Routing Control in Networks of Constrained Nonlinear Positive Systems with Concave Flow Rates

Nicolas Dousse

We consider control design for positive compartmental systems in which each compartment's outflow rate is described by a concave function of the amount of material in the compartment. We address the problem of determining the routing of material between co ...

Elsevier2016

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Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions

Macroscopic polarization in the nominally ergodic relaxor state of lead magnesium niobate

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

A generalization of Kátai's orthogonality criterion with applications

Rapid, Robust, and Relevant (R3) Reactivity Test for Supplementary Cementitious Materials

A Unified Framework for Coordinated Multi-Arm Motion Planning

Disjointness for measurably distal group actions and applications

Dynamical Behavior and Stability Analysis of Hydromechanical Gates

A Linear Programming Approach to Routing Control in Networks of Constrained Nonlinear Positive Systems with Concave Flow Rates

Rapid, Robust, and Relevant (R3) Reactivity Test for Supplementary Cementitious Materials

Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions

Disjointness for measurably distal group actions and applications

Dynamical Behavior and Stability Analysis of Hydromechanical Gates

A Unified Framework for Coordinated Multi-Arm Motion Planning

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

A Linear Programming Approach to Routing Control in Networks of Constrained Nonlinear Positive Systems with Concave Flow Rates

Macroscopic polarization in the nominally ergodic relaxor state of lead magnesium niobate

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

A generalization of Kátai's orthogonality criterion with applications