Projects per year
Fingerprint Dive into the research topics where Michael Aizenman is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 3 Similar Profiles
Random Operators
Mathematics
Ising model
Physics & Astronomy
Disorder
Mathematics
Ising Model
Mathematics
disorders
Physics & Astronomy
Random Potential
Mathematics
Absolutely Continuous Spectrum
Mathematics
operators
Physics & Astronomy
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 2011 2020
Critical Phenomena and Disorder Effects
NSF - National Science Foundation
8/1/16 → 7/31/20
Project: Research project
Topics in the Spectral Theory of Random Operators and in Statistical Mechanics
NSF - National Science Foundation
9/1/13 → 8/31/16
Project: Research project
Fluctuations, Resonances, and Critical Phenomena
NSF - National Science Foundation
9/1/11 → 8/31/14
Project: Research project
Research Output 1973 2019
A Power-Law Upper Bound on the Correlations in the 2D Random Field Ising Model
Aizenman, M. & Peled, R., Dec 1 2019, In : Communications In Mathematical Physics. 372, 3, p. 865-892 28 p.Research output: Contribution to journal › Article
Magnetization
Random Field
Ising model
Ising Model
Power Law
1
Citation
(Scopus)
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.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.Research output: Contribution to journal › Article
Correlator
correlators
Partition Function
Riemann zeta function
Ising Model
2
Citations
(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.Research output: Contribution to journal › Article
switches
analogs
operators
2
Citations
(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.Research output: Contribution to journal › Article
Perturbation
Multiple Eigenvalues
Frobenius norm
Interval
Operator Norm
Press/Media
Researchers Solve First Problem From Mathematical Physics Wish List
8/31/18
1 item of Media coverage
Press/Media: Press / Media
Researcher helps crack decades-old math problem
8/24/18 → 8/25/18
2 items of Media coverage
Press/Media: Press / Media