Alexander Teplyaev

Alexander Teplyaev

University of Connecticut

H-index: 32

North America-United States

About Alexander Teplyaev

Alexander Teplyaev, With an exceptional h-index of 32 and a recent h-index of 20 (since 2020), a distinguished researcher at University of Connecticut, specializes in the field of Probability, Mathematical Physics, Fractals, (geometric analysis, spectral analysis).

His recent articles reflect a diverse array of research interests and contributions to the field:

Quantitative approach to Grover’s quantum walk on graphs

Layer potential operators for transmission problems on extension domains

Gaps labeling theorem for the bubble-diamond self-similar graphs

From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz, Volume 1

From Strichartz Estimates to Differential Equations on Fractals

Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs

Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes

On Perturbations of Preferences and Indifference Price Invariance

Alexander Teplyaev Information

University

Position

___

Citations(all)

3172

Citations(since 2020)

1191

Cited By

2597

hIndex(all)

32

hIndex(since 2020)

20

i10Index(all)

69

i10Index(since 2020)

43

Email

University Profile Page

University of Connecticut

Google Scholar

View Google Scholar Profile

Alexander Teplyaev Skills & Research Interests

Probability

Mathematical Physics

Fractals

(geometric analysis

spectral analysis)

Top articles of Alexander Teplyaev

Title

Journal

Author(s)

Publication Date

Quantitative approach to Grover’s quantum walk on graphs

Quantum Information Processing

Gamal Mograby

Radhakrishnan Balu

Kasso A Okoudjou

Alexander Teplyaev

2024/1

Layer potential operators for transmission problems on extension domains

arXiv preprint arXiv:2403.11601

Gabriel Claret

Michael Hinz

Anna Rozanova-Pierrat

Alexander Teplyaev

2024/3/18

Gaps labeling theorem for the bubble-diamond self-similar graphs

Journal of Physics A: Mathematical and Theoretical

Elizabeth Melville

Gamal Mograby

Nikhil Nagabandi

Luke G Rogers

Alexander Teplyaev

2023/10/27

From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz, Volume 1

Patricia Alonso Ruiz

Michael Hinz

Kasso A Okoudjou

Luke G Rogers

Alexander Teplyaev

2023/10/24

From Strichartz Estimates to Differential Equations on Fractals

Patricia Alonso Ruiz

Michael Hinz

Kasso A Okoudjou

Luke G Rogers

Alexander Teplyaev

2023/6/26

Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs

Journal of Spectral Theory

Gamal Mograby

Radhakrishnan Balu

Kasso A Okoudjou

Alexander Teplyaev

2023/11/24

Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes

Asymptotic Analysis

Michael Hinz

Anna Rozanova-Pierrat

Alexander Teplyaev

2023/1/1

On Perturbations of Preferences and Indifference Price Invariance

2023 Fall Eastern Sectional Meeting

Oleksii Mostovyi

ALEXANDER TEPLYAEV

2022/12/27

Spectral decimation of a self-similar version of almost Mathieu-type operators

Journal of Mathematical Physics

Gamal Mograby

Radhakrishnan Balu

Kasso A Okoudjou

Alexander Teplyaev

2022/5/1

Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries

Calculus of Variations and Partial Differential Equations

Adrien Dekkers

Anna Rozanova-Pierrat

Alexander Teplyaev

2022/4

Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs

Journal of Mathematical Physics

Gamal Mograby

Maxim Derevyagin

Gerald V Dunne

Alexander Teplyaev

2021/4/1

Spectra of perfect state transfer Hamiltonians on fractal-like graphs

Journal of Physics A: Mathematical and Theoretical

Gamal Mograby

Maxim Derevyagin

Gerald V Dunne

Alexander Teplyaev

2021/3/1

Spectral analysis on Barlow and Evans’ projective limit fractals

Journal of Spectral Theory

Benjamin Steinhurst

Alexander Teplyaev

2021/2/24

Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates

Calculus of Variations and Partial Differential Equations

Patricia Alonso-Ruiz

Fabrice Baudoin

Li Chen

Luke Rogers

Nageswari Shanmugalingam

...

2021/10

Non-Lipschitz uniform domain shape optimization in linear acoustics

SIAM Journal on Control and Optimization

Michael Hinz

Anna Rozanova-Pierrat

Alexander Teplyaev

2021

On the existence of optimal shapes in architecture

Applied Mathematical Modelling

Michael Hinz

Frédéric Magoulès

Anna Rozanova-Pierrat

Marina Rynkovskaya

Alexander Teplyaev

2021/6/1

Discretization of the Koch snowflake domain with boundary and interior energies

arXiv preprint arXiv:2002.04680

Malcolm Gabbard

Carlos Lima

Gamal Mograby

Luke G Rogers

Alexander Teplyaev

2020/2/11

Fractal AC circuits and propagating waves on fractals

Eric Akkermans

Joe P Chen

Gerald Dunne

Luke G Rogers

Alexander Teplyaev

2020

Ornstein–Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities

Probability theory and related fields

Maria Gordina

Michael Rockner

Alexander Teplyaev

2020

Perfect quantum state transfer on diamond fractal graphs

Quantum Information Processing

Maxim Derevyagin

Gerald V Dunne

Gamal Mograby

Alexander Teplyaev

2020/9

See List of Professors in Alexander Teplyaev University(University of Connecticut)

Co-Authors

H-index: 69
Michael Röckner

Michael Röckner

Universität Bielefeld

H-index: 67
Gerald Dunne

Gerald Dunne

University of Connecticut

H-index: 49
Richard Bass

Richard Bass

University of Connecticut

H-index: 34
Ben Hambly

Ben Hambly

University of Oxford

H-index: 31
Daniel J Kelleher

Daniel J Kelleher

University of Massachusetts Medical School

H-index: 31
Nageswari Shanmugalingam

Nageswari Shanmugalingam

University of Cincinnati

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