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- Harvard UniversityUS28 papers
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5 papers · 2 filters
The number of occurrences of a fixed spread among n directions in vector spaces over finite fields
Le Anh Vinh
We study a finite analog of a problem of Erdos, Hickerson and Pach on the maximum number of occurrences of a fixed angle among n directions in three-dimensional spaces.
On a Furstenberg-Katznelson-Weiss type theorem over finite fields
Le Anh Vinh
Using Fourier analysis, Covert, Hart, Iosevich and Uriarte-Tuero (2008) showed that if the cardinality of a subset of the 2-dimensional vector space over a finite field with q elem…
On the number of orthogonal systems in vector spaces over finite fields
Le Anh Vinh
Iosevich and Senger (2008) showed that if a subset of the d-dimensional vector space over a finite field is large enough, then it contains many k-tuples of mutually orthogonal vect…
New Proofs of the Green-Tao-Ziegler Dense Model Theorem: An Exposition
Omer Reingold, Luca Trevisan, Madhur Tulsiani +1
Green, Tao and Ziegler prove ``Dense Model Theorems'' of the following form: if R is a (possibly very sparse) pseudorandom subset of set X, and D is a dense subset of R, then D may…
On the spectrum of unitary finite-Euclidean graphs
Si Li, Le Anh Vinh
We consider unitary graphs attached to Z_d^n using an analogue of the Euclidean distance. These graphs are shown to be integral when n is odd or the dimension d is even.