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Game arguments in computability theory and algorithmic information theory
Game arguments computability theory algorithmic information theory Logic
2012/4/17
We provide some examples showing how game-theoretic arguments can be used in computability theory and algorithmic information theory: unique numbering theorem (Friedberg), the gap between conditional ...
Intersection theory on Shimura surfaces II
Intersection theory Shimura surfaces II Number Theory
2012/3/1
This is the third of a series of papers relating intersections of special cycles on the integral model of a Shimura surface to Fourier coefficients of Hilbert modular forms. More precisely, we embed t...
Intersection theory on Shimura surfaces
Intersection theory Shimura surfaces intersection multiplicities
2012/3/1
Kudla has proposed a general program to relate arithmetic intersection multiplicities of special cycles on Shimura varieties to Fourier coefficients of Eisenstein series. The lowest dimensional case, ...
Ruin theory with a Markov chain interest model
Probability Markov chain Ruin function Interest
2011/11/5
In this paper we consider a discrete time risk process with a Markov chain interest model. We derive recursive equations satisfied respectively by the joint distribution of surplus immediately before ...
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
Dilatant non-Newtonian fluids similarity solution nonlinear boundary value problem
2011/10/13
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
Auslander-type conditions and cotorsion theory
Auslander-type conditions cotorsion theory functorially finite
2011/9/28
We study the properties of rings satisfying Auslander-type conditions. If an artin algebra A satisfies the Auslander condition (that is, A is an ∞-Gorenstein artin algebra), then we construct two kind...
Abstract: Heegaard Floer theory is a kind of topological quantum field theory, assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented 4-dimensio...
A Nielsen theory for coincidences of iterates
Nielsen theory coincidences of iterates Algebraic Topology
2011/9/22
Abstract: As the title suggests, this paper gives a Nielsen theory of coincidences of iterates of two self maps f, g of a closed manifold. The ideas is, as much as possible, to generalize Nielsen type...
A general Kirillov Theory for locally compact nilpotent groups
Kirillov Theory compact nilpotent groups Operator Algebras
2011/9/22
Abstract: We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view an many known examples from the literature.
Abstract: Extending Furstenberg's ergodic theoretic proof for Szemer\'edi's theorem on arithmetic progressions, Furstenberg and Weiss (2003) proved the following qualitative result. For every d and k,...
Gromov-Lawson-Schoen-Yau theory and isoparametric foliations
Gromov-Lawson-Schoen-Yau theory isoparametric hypersurface positive scalar curvature
2011/9/21
Abstract: Motivated by the celebrated Gromov-Lawson-Schoen-Yau surgery the- ory on metrics of positive scalar curvature, the present paper constructs a double manifold associated with a minimal isopar...
G-flux in F-theory and algebraic cycles
G-flux F-theory algebraic cycles High Energy Physics - Theory Algebraic Geometry
2011/10/10
Abstract: We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to ...
Canonical dual theory applied to a Lennard-Jones potential minimization problem
Mathematical Canonical Duality Theory Mathematical Optimization Lennard-Jones Potential Minimization Problem Global Optimization
2011/9/21
Abstract: The simplified Lennard-Jones (LJ) potential minimization problem is $f(x)=4\sum_{i=1}^N \sum_{j=1,jto} x\in \mathbb{R}^n,$ where...
Some bounds and limits in the theory of Riemann's zeta function
bounds and limits theory of Riemann's zeta function Number Theory
2011/9/21
Abstract: For any real a>0 we determine the supremum of the real \sigma\ such that \zeta(\sigma+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different.}
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Dualities in Field Theories and the Role of K-Theory
duality S-duality T-duality K-theory AdS/CFT correspondence D-brane
2011/10/9
Abstract: It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very different, b...