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Publications Influence

High Dimensional Normality of Noisy Eigenvectors

- J. Marcinek, H. Yau
- Mathematics
- 15 May 2020

We study joint eigenvector distributions for large symmetric matrices in the presence of weak noise. Our main result asserts that every submatrix in the orthogonal matrix of eigenvectors converges to… Expand

7 1- PDF

Distribution of orders in number fields

- N. Kaplan, J. Marcinek, Ramin Takloo-Bighash
- Mathematics
- 6 August 2014

AbstractIn this paper, we study the distribution of orders of bounded discriminants in number fields. We use the zeta functions introduced by Grunewald, Segal, and Smith. In order to carry out our… Expand

11 1- PDF

Antitussive activity of Althaea officinalis L. polysaccharide rhamnogalacturonan and its changes in guinea pigs with ovalbumine-induced airways inflammation.

- M. Šutovská, P. Capek, +4 authors M. Kalman
- Chemistry, Medicine
- Bratislavske lekarske listy
- 2011

AIM
The presented studies were aimed on experimental confirmation of Althaea officinalis polysaccharide rhamnogalacturonan antitussive effect and its changes in conditions of allergic inflammation.… Expand

16

An Improved Lower Bound for Sparse Reconstruction from Subsampled Hadamard Matrices

- Jaroslaw Blasiok, Patrick Lopatto, K. Luh, J. Marcinek, S. Rao
- Mathematics, Computer Science
- IEEE 60th Annual Symposium on Foundations of…
- 28 March 2019

TLDR

5- PDF

Systematyka gleb Polski

- J. Marcinek, J. Komisarek, R. Bednarek, A. Mocek, S. Skiba, K. Wiatrowska
- Environmental Science
- 2011

72

Sparse Reconstruction from Hadamard Matrices: A Lower Bound

- Jaroslaw Blasiok, Patrick Lopatto, K. Luh, J. Marcinek
- Computer Science, Mathematics
- ArXiv
- 28 March 2019

TLDR

4- PDF

Counting Subrings of ${\mathbb Z}^n$ of finite index

- N. Kaplan, J. Marcinek, Ramin Takloo-Bighash
- Mathematics
- 12 August 2010

In this article we investigate the number of subrings of $\Z^d$ using subring zeta functions and $p$-adic integration.

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Elliptic Curves and the Mordell-Weil Theorem

- J. Marcinek
- 2013

This paper introduces the notion of elliptic curves with an emphasis on elliptic curves defined over Q and their rational points. Some algebraic number theory and algebraic geometry is developed in… Expand

Comparison theorem for some extremal eigenvalue statistics

- B. Landon, Patrick Lopatto, J. Marcinek
- Mathematics
- 25 December 2018

We introduce a method for the comparison of some extremal eigenvalue statistics of random matrices. For example, it allows one to compare the maximal eigenvalue gap in the bulk of two generalized… Expand

5- PDF

Eigenvector Statistics of L\'{e}vy Matrices

- A. Aggarwal, Patrick Lopatto, J. Marcinek
- Mathematics, Physics
- 21 February 2020

We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called Levy matrices) whose associated eigenvalues are sufficiently small. We show that the limiting law… Expand

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