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A NOTE ON THE BLOCH-TAMAGAWA SPACE AND SELMER GROUPS
BLOCH-TAMAGAWA SPACE SELMER GROUPS
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2015/12/10
Let A be an abelian variety over a number field F and A_
its dual. B. Birch and
P. Swinnerton-Dyer, interested in defining the Tamagawa number (A) of A, were led to their
celebrated c...
A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
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2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
A technical note on the bias in the estimation of the b-value and its uncertainty through the Least Squares technique
b-value Seismology Least Squares technique Synthetic-earthquake catalogs
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2015/9/2
We investigate conceptually,
analytically, and numerically the biases in the estimation of the
b-value of the Gutenberg-Richter law and of
its uncertainty made through the least
squares technique...
A NOTE ON POINCARI, SOBOLEV, AND HARNACK INEQUALITIES
HARNACK INEQUALITIES SOBOLEV
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2015/8/26
Let M be a cg-connected manifold. Let L be a second-order
differential operator with real cg(R) coefficients on M and such that L1 0 (i.e., L
has no zero-order term). Assume that there exists a posi...
A note on the group lasso and a sparse group lasso
group lasso sparse group lasso
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2015/8/21
We consider the group lasso penalty for the linear model. We note that the standard algorithm for solving the problem assumes that the model matrices in each group are orthonormal. Here we consider a ...
A NOTE ON STRONGLY SEPARABLE ALGEBRAS
Separable algebras invariants coinvariants coalgebras Hopf algebras
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2015/8/14
Let A be an algebra over a field k. If M is an A–bimodule, we let
MA and MA denote respectively the k–spaces of invariants and coinvariants of
M, and 'M : MA
! MA be the natural map. In this note w...
A note on parametric and nonparametric uncertainties in control systems
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2015/8/13
It is shown that robust stability and robust performance questions for control systems with nonparametric uncertainties can be turned into those with a particularly simple parametric description. It i...
A note on the order of l1-optimal compensators
Information Sysfems Laboratory Stanford Universiiy Slanjord, CA 94,305
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2015/8/13
Recently, Dahleh and Pearson showed that when an l1 optimal compensator for a digital single-input, single-output, time-invariant plant exists, it is rational if the plant itself is. In this note, we ...
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Gluing Dirac Type Operators Mirror Quantum Two-Sphere
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2014/12/12
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subjec...
Note on the Number of Steady States for a 2D Smoluchowski Equation
the Number Steady States 2D Smoluchowski Equation
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2014/4/4
Dynamics of concentrated polymer solutions are modeled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high i...
NOTE ON GLOBAL REGULARITY FOR 2D OLDROYD-B FLUIDS WITH DIFFUSIVE STRESS
Oldroyd-B, complex uids Fokker-Planck equations blow up global existence Euler equations Navier-Stokes equations kinetic equations
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2014/4/3
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
A note on Freiman models in Heisenberg groups
Freiman models Heisenberg groups Number Theory
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2012/7/11
Green and Ruzsa recently proved that for any $s\ge2$, any small squaring set $A$ in a (multiplicative) abelian group, i.e. $|A\cdot A|
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
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2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulasKe...
A Note on Coulhon type inequalities
Sobolev inequalities modulus of continuity symmetrization isoperimetric inequalities interpolation
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2012/6/29
T. Coulhon introduced an interesting parametrization of Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
A Short Note on Mapping Cylinders
A Short Note Mapping Cylinders Algebraic Topology
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2012/6/25
Given a homotopy equivalence f between two topological spaces we obtain an explicit formula for a strong deformation retraction of the mapping cylinder of f onto its top.