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This lecture concerns the metric Riemannian geometry of Einstein manifolds, which is a central theme in modern differential geometry and is deeply connected to a large variety of fundamental problems ...
Invariant geometric flows in certain geometries have been studied extensively from different points of view. In this talk, we are mainly concerned with geometric aspects of multi-component integrable ...
Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
Since 1994, every 2 to 4 years the SIAM Materials Activity Group organizes the SIAM Conference on Mathematical Aspects of Materials Science. This conference focuses on interdisciplinary approaches tha...
Integrable systems involves the study of physically relevant nonlinear equations, which includes many families of well-known, highly important partial and ordinary differential equations. Building on ...
As a result of building a topological surfaced geodatabase for the test area, the paper discuses the investigation of modeling 3D surface data, and its fusion with other planinmetric modeled data, an...
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
The Standard Model of particle physics is the best existing theory for describing the interactions between elementary particles. Even though the Standard Model has been confirmed in many experiments, ...
In this thesis we investigate 1-skeleta and their associated cohomology rings. 1-skeleta arise from the 0- and 1-dimensional orbits of a certain class of manifold admitting a compact torus action and ...
We survey some aspects of Frobenius algebras, Frobenius structures and their relation to finite Hopf algebras using graphical calculus. We focus on the `yanking' moves coming from a closed structure i...
Abstract: We show that various genus zero Gromov-Witten invariants for flag varieties representing different homology classes are indeed the same. In particular, many of them are classical intersectio...
Abstract: In the present paper, we apply Alexandrov geometry methods to study geometric analysis aspects of infinite semiplanar graphs with nonnegative combinatorial curvature in the sense of Higuchi....
Abstract: Dependence coefficients have been widely studied for Markov processes defined by a set of transition probabilities and an initial distribution. This work clarifies some aspects of the theory...
Let (N, Φ) be a circular Ferrero pair. We define the disk with center b and radius a, D(a; b), as D(a; b) = {x ∈ Φ(r) +c | r 6= 0, b ∈ Φ(r) +c, |(Φ(r) +c) ∩ (Φ(a)+b)| = 1}.We prove that in the field-g...
Cette thèse traite des aspects géométriques et d’intégrabilité associés aux modèles de matrices aléatoires. Son but est de présenter diverses applications des modèles de matrices aléatoires allant d...

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