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Random Meander Model for Links
We suggest a new random model for links based on meander diagrams and graphs. We then prove that trivial links appear with vanishing probability in...
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Stochastic Effects of the Meander on the Dispersion of Pollutants in the Planetary Boundary Layer Under Low Wind Conditions
In the present contribution, we discuss a pollution dispersion model in three dimensions which takes into account effects due to meandering. To this...
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Design of Sturm global attractors 2: Time-reversible Chafee–Infante lattices of 3-nose meanders
This sequel continues our exploration (Fiedler and Rocha in Chaos 33:083127, 2023. https://doi.org/10.1063/5.0147634 ) of a deceptively “simple” class...
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Parametric Resonance and Theory of Bragg Waveguides
This review paper summarizes a new analytical approach to the theory of waves in periodic media developed in relation with the problems of fiber...
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Curve Lengthening via Regularized Motion Against Curvature from the Strong FCH Flow
We present a rigorous analysis of the transient evolution of nearly circular bilayer interfaces evolving under the thin interface limit,
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Recent Progress in Applications of the Conditional Nonlinear Optimal Perturbation Approach to Atmosphere-Ocean Sciences
The conditional nonlinear optimal perturbation (CNOP for short) approach is a powerful tool for predictability and targeted observation studies in...
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Correlated Structures in a Balanced Motion Interacting with an Internal Wave
Characterizing the loss of coherence of an internal tide propagating through mesoscale turbulence has been a major challenge in oceanography,...
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Interaction of an Upwelling Front with External Vortices: Impact on Cross-shore Particle Exchange
Coastal upwellings, due to offshore Ekman transport, are more energetic at the western boundaries of the oceans, where they are intensified by...
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Geometry of Ancient Mazes: A Synthesis Part II: ‘Roman’ Mazes
The aim of the present survey was an investigation of the processes implemented for conceiving and setting up three types of ancient mazes which have...
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Connection probabilities of multiple FK-Ising interfaces
We find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the critical planar...
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Asymptotically Stable Random Walks Killed Upon Hitting a Finite Set
This section is concerned with the potential function for the r.w. S killed upon hitting a finite set. For its description, we do not need (AS). The...
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On Meandric Colliers
We introduce the meandric colliers as planar self-avoiding closed continuous curves crossing the 2 n arcs of a meander 2 r times. We describe their...
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On a Brownian Motion Conditioned to Stay in an Open Set
We study the distribution of a Brownian motion conditioned to start from the boundary of an open set G and to stay in G for a finite period of time....
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Diagrammatic Mathematics
Herein we look at mathematics through the lens of diagrams, drawings, and graphs. We begin with diagrams that arise close to the nature of the...
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Enumerative Combinatorics of XX0 Heisenberg Chain
In the present paper, the enumeration of a certain class of directed lattice paths is based on the analysis of dynamical correlation functions of the...