Results 91 to 100 of about 422,054 (167)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Cortical structural network characteristics in non-cognitive impairment end-stage renal disease
ObjectiveExplore alterations in topological features of gray matter volume (GMV) and structural networks in non-cognitive impairment end-stage renal disease (Non-CI ESRD).Materials and methodsUtilizing graph theory, we collected structural magnetic ...
Yimin Wang +6 more
doaj +1 more source
Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters
ABSTRACT The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers, focused mostly on congruences and divisions. We show that similar methods can be used to extend these characterizations to arbitrary relations and their interplay.
Leonardo Raffaello Maximilian Gasparro +1 more
wiley +1 more source
The Glass Transition: A Topological Perspective
Resorting to microcanonical ensemble Monte Carlo simulations, we study the geometric 1 and topological properties of the state space of a model of network glass-former. This model, a 2 Lennard-Jones binary mixture, does not crystallize due to frustration.
Vesperini, Arthur +2 more
openaire +5 more sources
Relationships among Various Chaos for Linear Semiflows Indexed with Complex Sectors
In this paper, we investigate the relationships among point transitivity, topological transitivity, Li–Yorke chaos, and the existence of irregular vectors for a linear semiflow {Tt}t∈Δ indexed with a complex sector.
Shengnan He +3 more
doaj +1 more source
Inducing Coverings on Hilbert Schemes
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley +1 more source
An Improved Chaotic Motion Path Planner for Autonomous Mobile Robots Based on a Logistic Map
This paper presents a chaotic motion path planner based on a Logistic Map (SCLCP) for an autonomous mobile robot to cover an unknown terrain randomly, namely entirely, unpredictably and evenly.
Caihong Li +4 more
doaj +1 more source
Dynamic Reconfiguration of Functional Topology in Human Brain Networks: From Resting to Task States
Task demands evoke an intrinsic functional network and flexibly engage multiple distributed networks. However, it is unclear how functional topologies dynamically reconfigure during task performance. Here, we selected the resting- and task-state (emotion
Wenhai Zhang +3 more
doaj +1 more source
Asymmetric Results About Graph Homomorphisms
ABSTRACT Many important results in extremal graph theory can be roughly summarized as “if a triangle‐free graph G$$ G $$ has certain properties, then it has a homomorphism to a triangle‐free graph Γ$$ \Gamma $$ of bounded size.” For example, bounds on homomorphism thresholds give such a statement if G$$ G $$ has sufficiently high minimum degree, and ...
Lior Gishboliner +2 more
wiley +1 more source
Long Run Non‐Transitivity of Win Ratio and How to Rule It Out
ABSTRACT The win ratio (WR) has emerged as an increasingly used method for analyzing composite endpoints in randomized controlled trials (RCTs). Its growing popularity stems from its ability to accommodate a hierarchy of event types within a composite primary endpoint in an RCT.
Olga V. Demler, Anna Győrffy‐Kerekes
wiley +1 more source

