Ritesh Goenka

collaborators

7 papers

math.CO2026

No- $(k + 1)$ -in-line problem for $k ⩾ 3$

Anubhab Ghosal, Ritesh Goenka, Alexandr Grebennikov +3

What is the maximum number of points one can place in an $n \times n$ grid such that every Euclidean line contains at most $k$ points? For $k = 2$ , this is the notorious no-three-i…

math.CO2026

Congruent copies of finite patterns in planar point sets

Shubhrajit Bhattacharya, Ritesh Goenka

Given a finite nonempty planar point set $S$ , what is the maximum number of congruent copies of $S$ contained in a set of $n$ points in the Euclidean plane? Building on OpenAI's re…

math.CO2026

Point sets avoiding near-integer distances

Ritesh Goenka, Kenneth Moore

Let $d \in N$ , $I^´ \in (0, 1/2)$ , and $X > 0$ . Denote by $N_{d} (X, I^´)$ the maximum number of points in a subset of the closed Euclidean ball of radius $X$ in $R^{d}$ …

math.PR2026

Source localisation in simple random walks

Ritesh Goenka, Peter Keevash, Tomasz PrzybyÅowski

We consider the problem of locating the source (starting vertex) of a simple random walk, given a snapshot of the set of edges (or vertices) visited in the first $n$ steps. Conside…

math.PR2025

Cutoff for generalised Bernoulli-Laplace urn models

Ritesh Goenka, Jonathan Hermon, Dominik Schmid

We introduce a multi-colour multi-urn generalisation of the Bernoulli-Laplace urn model, consisting of $d$ urns, $m$ colours, and $d mn$ balls, with $d n$ balls of each colour and $m…

math.CO2025

On subsets of lattice cubes avoiding affine and spherical degeneracies

Anubhab Ghosal, Ritesh Goenka, Peter Keevash

For integers $1 < k < d - 1$ and $r \geq k + 2$ , we establish new lower bounds on the maximum number of points in $[n]^{d}$ such that no $r$ lie in a $k$ -dimensional affine (or linear) su…

No-(k+1)-in-line problem for k⩾3

Congruent copies of finite patterns in planar point sets

Point sets avoiding near-integer distances

Source localisation in simple random walks

Cutoff for generalised Bernoulli-Laplace urn models

On subsets of lattice cubes avoiding affine and spherical degeneracies

No- $(k + 1)$ -in-line problem for $k ⩾ 3$