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We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A, Φ), where A is a unitary connection on a rank 2 hermitian vector bundle over a compact Riemann surface, and Φ is ...
Real harmonizable multifractional stable process and its local properties
Stable process harmonizable process multifractionality
2011/1/17
A real harmonizable multifractional stable process is defined, its H¨older continuity and localizability are proved. The existence of local time is shown and its regularity is established.
Comparison of third order L_0-stable numerical schemes for the two–Dimensional homogeneous diffusion problem subject to specification of mass
Lo − stable Parabolic Problems
2010/9/21
This paper presents a numerical comparison of third order Lo − stable numerical schemes for the two-dimensional parabolic partial differential equations subject to nonlocal boundary conditions. ...
Stable Hamiltonian structures in dimension three are supported by open books
Stable Hamiltonian structures dimension open books
2011/2/22
In dimension three, (cooriented) contact structures are closely related to open books via the following results, the rst due to Thurston-Winkelnkemper [8]and the other ones due to Giroux [6]:(1) Ever...
This paper concerns hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball refers to a type of hylomorphic s...
Mori's program for the moduli space of pointed stable rational curves
Mori's program the moduli space
2010/11/22
We prove that, assuming the F-conjecture, the log canonical model of the pair $(\bar{M}_{0,n}, \sum a_i \psi_i)$ is the Hassett's moduli space of weighted pointed stable rational curves without any mo...
Descendent theory for stable pairs on toric 3-folds
Descendent theory stable pairs toric 3-folds
2010/11/23
We prove the rationality of the descendent partition function for stable pairs on nonsingular toric 3-folds. The method uses a geometric reduction of the 2- and 3-leg descendent vertices to the 1-leg...
Stable Higgs bundles on compact Gauduchon manifolds
Stable Higgs bundles compact Gauduchon manifolds
2010/11/19
Let $M$ be a compact complex manifold equipped with a Gauduchon metric. If $TM$ is holomorphically trivial, and (V, \theta) is a stable SL(r,{\mathbb C})-Higgs bundle on $M$, then we show that $\thet...
Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow
4-manifolds Seiberg-Witten invariants normalized Ricci flow
2010/11/18
In this article, we produce infinite families of 4-manifolds with positive first betti numbers and meeting certain conditions on their homotopy and smooth types so as to conclude the non-vanishing of...
In this paper we study the generalized version of weighted matching in bipartite networks. Consider a weighted matching in a bipartite network in which the nodes derive value from the split of the ma...
A categorification of the stable SU(2) Witten-Reshetikhin-Turaev invariant of links in S2 x S1
the stable SU(2) Witten-Reshetikhin-Turaev invariant links
2010/11/15
The WRT invariant of a link L in S2xS1 at sufficiently high values of the level r can be expresses as an evaluation of a special polynomial invariant of L at 2r-th root of unity. We categorify this p...
This work builds on [6] and [7] where Keisler measures over NIP theories are studied. We discuss two constructions for obtaining generically stable measures in this context.
We derive the representative Bernstein measure of the density of (X )− /(1− ), 0 < < 1, where X is a positive stable random variable, as a Fox-H function. Our result makes more explicit...
New stable numerical solutions of singular integral equations of Abel type by using normalized Bernstein polynomials
Orthonormal Bernstein polynomials Abel’s integral equations
2010/9/10
A new numerical method, based on the normalized Bernstein polynomials for solving singular integral equations of Abel type is presented here in this paper. We construct an othonormal family { }n i n i...
Approach to design of robust control systems by structurally stable functions from catastrophe theory
Catastrophes Control Stabilization
2010/9/14
An approach to stabilization of control systems with wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe ...