Publications (36)
Ordering of Energy Levels in Heisenberg Models and Applications
Bruno Nachtergaele, Shannon Starr
Finite-volume excitations of the 111 interface in the quantum XXZ model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele +1
On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
Bruno Nachtergaele, Benjamin Schlein, Robert Sims +2
Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system
Shannon Starr
Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
The Length of the Longest Increasing Subsequence of a Random Mallows Permutation
Carl Mueller, Shannon Starr
Some Observations for Mean-Field Spin Glass Models
Shannon Starr, Brigitta Vermesi
On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
Bruno Nachtergaele, Wolfgang L Spitzer, Shannon Starr
Counterexamples to Ferromagnetic Ordering of Energy Levels
Wolfgang Spitzer, Shannon Starr, Lam Tran
About Thinning Invariant Partition Structures
Shannon Starr, Brigitta Vermesi, Ang Wei
A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele +1
Emptiness Formation Probability
Nicholas Crawford, Stephen Ng, Shannon Starr
A Universality Property of Gaussian Analytic Functions
Andrew Ledoan, Marco Merkli, Shannon Starr
Ferromagnetic Ordering of Energy Levels for $U_q(\mathfrak{sl}_2)$ Symmetric Spin Chains
Bruno Nachtergaele, Stephen Ng, Shannon Starr
A resonance theory for open quantum systems with time-dependent dynamics
Marco Merkli, Shannon Starr
Asymptotics of the Spectral Gap for the Interchange Process on Large Hypercubes
Matt Conomos, Shannon Starr
Improved bounds on the spectral gap above frustration free ground states of quantum spin chains
Wolfgang L Spitzer, Shannon Starr
Thermodynamic Limit for the Mallows Model on $S_n$
Shannon Starr
Ferromagnetic Ordering of Energy Levels
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
Droplet States in the XXZ Heisenberg Chain
Bruno Nachtergaele, Shannon Starr
Rough Bounds for Emptiness Formation Probability in the 2d Dimer model using Reflection Positivity
Shannon Starr, Scott Williams
Asymptotic Ferromagnetic Ordering of Energy Levels for the Heisenberg Model on Large Boxes
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives
Pierluigi Contucci, Emanuele Mingione, Shannon Starr
Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound
Pierluigi Contucci, Shannon Starr
Phase Uniqueness for the Mallows Measure on Permutations
Shannon Starr, Meg Walters
Quantum spin systems at positive temperature
Marek Biskup, Lincoln Chayes, Shannon Starr
Antiferromagnetic Potts model on the Erdos-Renyi random graph
Pierluigi Contucci, Sander Dommers, Cristian Giardina' +1
The Extended Variational Principle for Mean-Field, Classical Spin Systems
Eugene Kritchevski, Shannon Starr
Variational Bounds for the Generalized Random Energy Model
Cristian Giardina', Shannon Starr
A Note on Mixed Matrix Moments for the Complex Ginibre Ensemble
Meg Walters, Shannon Starr
A Ferromagnetic Lieb-Mattis Theorem
Bruno Nachtergaele, Shannon Starr
Two Examples of COM Bounds using Spectral Gaps: Length of the LIS in a Random Permutation and Lipschitz Functions of 1d Markov Chains
Michael Froehlich, Shannon Starr
Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
Jaideep Mulherkar, Bruno Nachtergaele, Robert Sims +1
The spectral gap for the ferromagnetic spin-J XXZ chain
Tohru Koma, Bruno Nachtergaele, Shannon Starr
A Thinning Analogue of de Finetti's Theorem
Shannon Starr
Universality of Correlations for Random Analytic Functions
Shannon Starr