Zobrazeno 1 - 10
of 337
pro vyhledávání: '"Smart, Charles"'
Autor:
Chen, Nixia, Smart, Charles K
We show the eigenvectors of a Gaussian random band matrix are localized when the band width is less than the 1/4 power of the matrix size. Our argument is essentially an optimized version of Schenker's proof of the 1/8 exponent.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2206.06439
We prove a quantitative, large-scale doubling inequality and large-scale three-ellipsoid inequality for solutions of uniformly elliptic equations with periodic coefficients. These estimates are optimal in terms of the minimal length scale on which th
Externí odkaz:
http://arxiv.org/abs/2107.14248
We prove that a solution of an elliptic operator with periodic coefficients behaves on large scales like an analytic function, in the sense of approximation by polynomials with periodic corrections. Equivalently, the constants in the large-scale $C^{
Externí odkaz:
http://arxiv.org/abs/2005.01199
Autor:
Alexander, Matthew R., Dale, Bethany L., Smart, Charles D., Elijovich, Fernando, Wogsland, Cara E., Lima, Sierra M., Irish, Jonathan M., Madhur, Meena S.
Publikováno v:
In JACC: Basic to Translational Science March 2023 8(3):319-336
Autor:
O'Carroll, Denis M., Eloisa Sia, Maria, Staniec, Maja, Voogt, James A., Lundholm, Jeremy T., Smart, Charles C., Robinson, Clare E.
Publikováno v:
In Journal of Hydrology February 2023 617 Part B
Autor:
Ding, Jian, Smart, Charles K
We consider a Hamiltonian given by the Laplacian plus a Bernoulli potential on the two dimensional lattice. We prove that, for energies sufficiently close to the edge of the spectrum, the resolvent on a large square is likely to decay exponentially.
Externí odkaz:
http://arxiv.org/abs/1809.09041
Autor:
Calder, Jeff, Smart, Charles K
Publikováno v:
Duke Math. J. 169, no. 11 (2020), 2079-2124
We prove that the convex peeling of a random point set in dimension d approximates motion by the 1/(d + 1) power of Gaussian curvature. We use viscosity solution theory to interpret the limiting partial differential equation. We use the Martingale me
Externí odkaz:
http://arxiv.org/abs/1805.08278
Autor:
Feldman, William M, Smart, Charles K
We study a free boundary problem on the lattice whose scaling limit is a harmonic free boundary problem with a discontinuous Hamiltonian. We find an explicit formula for the Hamiltonian, prove the solutions are unique, and prove that the limiting fre
Externí odkaz:
http://arxiv.org/abs/1711.00965
Autor:
Pegden, Wesley, Smart, Charles K
We show that the patterns in the Abelian sandpile are stable. The proof combines the structure theory for the patterns with the regularity machinery for non-divergence form elliptic equations. The stability results allows one to improve weak-* conver
Externí odkaz:
http://arxiv.org/abs/1708.09432
Publikováno v:
Annales de l'Institut Henri Poincare / Analyse non lineaire. 35, No. 4 (2018), 921--943
We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bi
Externí odkaz:
http://arxiv.org/abs/1612.03431