## 7,119 Citations

### A new representation of the Ghirlanda-Guerra identities with applications

- Mathematics
- 2011

In this paper we obtain a new family of identities for random measures on the unit ball of a separable Hilbert space which arise as the asymptotic analogues of the Gibbs measures in the…

### THE NONEXISTENCE OF QUASI-EINSTEIN METRICS

- Mathematics
- 2010

m d f d fD 0 by studying the associated PDE 1 f fC m exp.2 f=m/D 0 for 0. By developing a gradient estimate for f , we show there are no nonconstant solutions. We then apply this to show that there…

### Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems

- MathematicsJournal of Differential Equations
- 2023

### Surjective morphisms onto subelliptic varieties

- Mathematics
- 2022

. We prove that every smooth subelliptic variety admits a surjective morphism from an aﬃne space. This result gives partial answers to the questions of Arzhantsev and Forstneriˇc. As an application,…

### Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields

- Mathematics
- 2022

Duke, Imamoḡlu, and Tóth have recently constructed a new geometric invariant, a hyperbolic orbifold, associated to each narrow ideal class of a real quadratic field. Furthermore, they have shown that…

### Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent

- Mathematics
- 2022

Finite frames, or spanning sets for ﬁnite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on understanding the global structure of collections…

### On the TAP equations via the cavity approach in the generic mixed $p$-spin models

- Physics
- 2022

In 1977, Thouless, Anderson, and Palmer (TAP) derived a system of consistent equations in terms of the eﬀective magnetization in order to study the free energy in the Sherrington-Kirkpatrick (SK)…

### Pseudo-Néron Model and Restriction of Sections with an appendix by Jason Michael

- Mathematics
- 2022

We introduce the notion of pseudo-Néron model and give new examples of varieties admitting pseudo-Néron models other than Abelian varieties. As an application of pseudo-Néron models, given a scheme…

### Definite orthogonal modular forms: computations, excursions, and discoveries

- MathematicsResearch in Number Theory
- 2022

We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After reviewing…

### On the distribution of rational points on ramified covers of abelian varieties

- MathematicsCompositio Mathematica
- 2022

We prove new results on the distribution of rational points on ramified covers of abelian varieties over finitely generated fields $k$ of characteristic zero. For example, given a ramified cover $\pi…

## References

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