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Michael Aizenman

Princeton University

  • 5475 Citations
  • 40 h-Index
1973 …2019
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Research Output 1973 2019

Emergent planarity in two-dimensional Ising models with finite-range Interactions

Aizenman, M., Duminil-Copin, H., Tassion, V. & Warzel, S., Jan 1 2019, In : Inventiones Mathematicae.

Princeton University

Research output: Contribution to journal › Article

Planarity
Ising Model
Pfaffian
Interaction
Range of data
1 Citation (Scopus)

Kac–Ward Formula and Its Extension to Order–Disorder Correlators Through a Graph Zeta Function

Aizenman, M. & Warzel, S., Dec 1 2018, In : Journal of Statistical Physics. 173, 6, p. 1755-1778 24 p.

Princeton University

Research output: Contribution to journal › Article

Correlator
correlators
Partition Function
Riemann zeta function
Ising Model
1 Citation (Scopus)

Edge switching transformations of quantum graphs

Aizenman, M., Schanz, H., Smilansky, U. & Warzel, S., Dec 1 2017, In : Acta Physica Polonica A. 132, 6, p. 1699-1703 5 p.

Princeton University

Research output: Contribution to journal › Article

switches
analogs
operators
1 Citation (Scopus)

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, 1750028.

Princeton University

Research output: Contribution to journal › Article

Perturbation
Multiple Eigenvalues
Frobenius norm
Interval
Operator Norm
1 Citation (Scopus)

Pfaffian Correlation Functions of Planar Dimer Covers

Aizenman, M., Valcázar, M. L. & Warzel, S., Feb 1 2017, In : Journal of Statistical Physics. 166, 3-4, p. 1078-1091 14 p.

Princeton University

Research output: Contribution to journal › Article

Pfaffian
Dimer
Correlation Function
dimers
Cover

Press/Media

Researchers Solve First Problem From Mathematical Physics Wish List

Michael Aizenman

8/31/18

1 item of media coverage

Princeton University

Press/Media: Press / Media

Researcher helps crack decades-old math problem

Michael Aizenman

8/24/18 → 8/25/18

2 items of media coverage

Princeton University

Press/Media: Press / Media