Related papers: A short proof of Isserlis' theorem
The purpose of this note is to rephrase Speyer's elegant topological proof for Kasteleyn's Theorem in a simple graph theoretical manner.
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that incremental stability may be verified by separation of Scaled…
In this article we use the Desargues' theorem and its reciprocal to solve two problems.
It is shown that, for stationary isotropic turbulence, Taylor's well known surrogate for the dissipation can be derived directly from the Karman-Howarth equation and is in fact a surrogate for inertial transfer, which becomes equal to the…
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof naturally leads to a refinement of this result of Juh\'asz.
The Isometry Theorem for continuous quiver of type $A$ plays an important role in persistent homology. In this paper, we shall generalize Isometry Theorem to continuous quiver of type $\tilde{A}$.
We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.
We give a counting based proof of the Graham Pollak Theorem
We prove that a certain pair of isospectral planar sets are distinguished by torsional rigidity.
We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.
We consider isomonodromic deformations of connections with a simple pole on the torus, motivated by the elliptic version of the sixth Painlev\'e equation. We establish an extended symmetry, complementing known results. The Calogero-Moser…
In a previous paper, the author proved the existence of extremal function for the Moser-Trudinger inequality on a compact manifold. In the this paper, we will give a new proof of one of the key proposition.
We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.
Using toric geometry we prove a B\'ezout type theorem for weighted projective spaces.
We prove that the construction of our previous paper math.QA/0103190 yields an invariant of tangle cobordisms.
We present an alternative proof of the Alexander-Hirschowitz Theorem in dimension 3 using degenerations of toric varieties.
We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem.
In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.
The paper presents a new short proof of one of Adams's theorems and a $t$-trace-class theorem for parabolic Morrey spaces.
A short proof of a theorem of M.H. Albert, and its application to lattices.