Grants per year

## Profile The profile is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Disorder
Mathematics

operators
Physics & Astronomy

Random Potential
Mathematics

Random Matrices
Mathematics

disorders
Physics & Astronomy

moments
Physics & Astronomy

Anderson Model
Mathematics

Conductance
Mathematics

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Network
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## Grants 2009 2018

## The Summer Undergraduate Research Institute in Experimental Mathematics (SURIEM)

Bell, R. W., Gerhardt, T. M., Schenker, J. H., Wang, H., Xiao, Y. & Zeleke, A.

5/15/16 → 5/14/18

Project: Research project

## Publications 1998 2017

## Matrix regularizing effects of Gaussian perturbations

Aizenman, M., Peled, R., Schenker, J., Shamis, M. & Sodin, S. Jun 1 2017 In : Communications in Contemporary Mathematics. 19, 3, 1750028Research output: Research - peer-review › Article

Perturbation

Interval

Multiple Eigenvalues

Frobenius norm

Operator Norm

1
Citations

## Quantum Brownian motion induced by thermal noise in the presence of disorder

Fröhlich, J. & Schenker, J. Feb 1 2016 In : Journal of Mathematical Physics. 57, 2, 023305Research output: Research - peer-review › Article

Brownian motion

Disorder

thermal noise

disorders

Random Potential

## Spectral analysis of a family of symmetric, scale-invariant diffusions with singular coefficients and associated limit theorems

Clark, J. T. & Schenker, J. H. 2016 In : Alea. 13, 1, p. 265-289 25 p.Research output: Research - peer-review › Article

Singular Coefficients

Scale Invariant

Spectral Analysis

Characteristic Function

Generalized Functions

1
Citations

## Diffusion in the Mean for an Ergodic Schrödinger Equation Perturbed by a Fluctuating Potential

Schenker, J. Nov 22 2015 In : Communications in Mathematical Physics. 339, 3, p. 859-901 43 p.Research output: Research - peer-review › Article

Random Potential

Schrödinger Equation

Central limit theorem

Directly proportional

Scaling

## Diffusive scaling for all moments of the Markov Anderson model

Musselman, C. & Schenker, J. 2015 In : Markov Processes and Related Fields. 21, 3P, p. 751-778 28 p.Research output: Research - peer-review › Article

Anderson Model

Markov Model

Scaling

Moment

Uniform Bound