Boolean function analysis on high-dimensional expanders

Cites Work

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Isoperimetric inequalities for Ramanujan complexes and topological expanders
A quasi-stability result for dictatorships in \(S_n\)
Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\).
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry
Ramanujan complexes of type \(\widetilde A_d\)
Homological connectivity of random 2-complexes
Stability for intersecting families in \(\mathrm{PGL}(2,q)\)
Ramanujan graphs
On expansion and topological overlap
Local spectral expansion approach to high dimensional expanders. I: Descent of spectral gaps
Boolean functions whose Fourier transform is concentrated on the first two levels.
Ramanujan hypergraphs
High order random walks: beyond spectral gap
Harmonicity and invariance on slices of the Boolean cube
p-adic curvature and the cohomology of discrete subgroups of p-adic groups
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Finite quotients of Bruhat–Tits buildings as geometric expanders
High dimensional expanders and property testing
Overlap properties of geometric expanders
Friedgut--Kalai--Naor theorem for slices of the Boolean cube
Making the Long Code Shorter
Sub-Constant Error Low Degree Test of Almost-Linear Size
Differential Posets
LOW-DEGREE BOOLEAN FUNCTIONS ON , WITH AN APPLICATION TO ISOPERIMETRY
Invariance Principle on the Slice
On independent sets, 2-to-2 games, and Grassmann graphs
Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model
Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid
Towards a proof of the 2-to-1 games conjecture?
On non-optimally expanding sets in Grassmann graphs
Analyzing Boolean functions on the biased hypercube via higher-dimensional agreement tests: [Extended abstract]
A stability result for balanced dictatorships in S_n
Bounded degree cosystolic expanders of every dimension
KKL, Kruskal--Katona, and Monotone Nets
List-Decoding with Double Samplers
Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction
Rapid Mixing from Spectral Independence beyond the Boolean Domain
Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion
Hypercontractivity on high dimensional expanders

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