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Lecture notes on stabilization of contact open books
Open books stabilization contact structures surgery
2011/2/24
This note explains how to relate some contact geometric opera-tions, such as surgery, to operations on an underlying contact open book. In particular, we shall give a simple proof of the fact that sta...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2010/12/28
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian
Elliptic equations Dirichlet boundary conditions stability of eigenvalues
2011/2/25
We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional e...
Cusps of the Kähler moduli space and stability conditions on K3 surfaces
Cusps of the Kä hler moduli space stability conditions
2011/1/21
In [Ma09] S. Ma established a bijection between Fourier–Mukai partners of a K3 surface and cusps of the K¨ahler moduli space.The K¨ahler moduli space can be described as a quotient of Bridgeland’s sta...
Degenerating the Jacobian: the Néron Model versus Stable Sheaves
N´ eron model stable sheaf compactified Jacobians relative Picard functor
2011/1/21
We provide sufficient conditions for the line bundle locus in a family of compact moduli spaces of pure sheaves to be isomorphic to the N´eron model. The result applies to moduli spaces construc...
The Complexity of Approximately Counting Stable Roommate Assignments
Complexity of Approximately Stable Roommate Assignments
2011/3/2
We investigate the complexity of approximately counting stable room-mate assignments in two models: (i) the k-attribute model, in which the preference lists are determined by dot products of “preferen...
The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points
Stationary Behaviour Fluid Limits of Reversible Processes Stationary Points
2010/12/13
Assume that a stochastic processes can be approximated, when some scale parameter
gets large, by a fluid limit (also called “mean field limit”, or “hydrodynamic limit”). A
common practice, often cal...
Bohl-Perron type stability theorems for linear difference equations with infinite delay
Bounded delay uniform stability Perron’s property phase space
2010/12/15
Relation between two properties of linear difference equations with infinite delay is inves-
tigated: (i) exponential stability, (ii) ℓp-input ℓq-state stability (sometimes is called Perr...
The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group
Yamabe equation quaternionic contact structures
2010/12/7
We determine the best (optimal) constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group and the non-negative functions for which equality holds.
k-wise Erdős-Ko-Rado Theorems: Stability Analysis and New Generalizations
intersection theorems stability matchings
2010/12/9
We consider the following generalization of the seminal Erdős-Ko-Rado theorem, due to Frankl [6]. For some k ≥ 2, let F be a k-wise intersecting family of r-subsets of an n element set X, i.e. fo...
The Period-Index Problem for the Stack of Regularly Stable Sp(2n)-Bundles over a Curve
Period-Index Problem Stack of Regularly Stable Sp(2n)-Bundles
2010/12/9
Let Sp2n be the symplectic group over k, an algebraically closed field of characteristic 0; and let X denote a smooth, projective, connected curve over k of genus g 2. There is a stack Bunrs Sp2n of...
Duality and canonical extensions for stably compact spaces
Duality canonical extensions stably compact spaces
2010/12/8
We construct a canonical extension for strong proximity lattices in order to give an algebraic,
point-free description of a finitary duality for stably compact spaces.
Orbital stability of coupled standing waves for systems of non-linear Klein-Gordon equations
standing waves elliptic systems unbounded
2010/12/3
In this work we consider a system of two non-linear waves equa-tions where the non-negative, non-linear term is subcritic and contains a cou-pling term. We show the existence of standing waves solutio...
Stability and preconditioning for a hybrid approximation on the sphere
radial basis functions approximation on the sphere
2010/12/9
This paper proposes a new preconditioning scheme for a linear system with a saddle-point structure arising from a hybrid approximation scheme on the sphere, an approximation scheme that combines (loca...
Simple-minded systems in stable module categories are defined by orthogonality and generating properties so that the images of the simple modules under a stable equivalence form such a system. Simple-...