Prashant Chaudhary

collaborators

4 papers

math.PR2026

Sums of two dependent uniform random variables: a characterization by joint tail bounds

Prashant Chaudhary, Kapil Khandelwal

Which laws can the sum of two uniform random variables have when nothing is known about how they depend on each other? For three or more uniform summands, convex order gives the an…

math.AC2026

Sumsets regularity versus Castelnuovo-Mumford regularity for monomial curves

Prashant Chaudhary, Kapil Khandelwal

Let $A = {0 = a_{0} < a_{1} < \dots < a_{k - 1} = d}$ be integers with greatest common divisor $1$ , let $C_{A}$ be the projective monomial curve they define, and let $reg (A)$ be the Casteln…

math.OC2026

Inverse knapsack at two capacities: which pairs of value-cardinality hulls are realizable?

Prashant Chaudhary, Kapil Khandelwal

One item set evaluated at two capacities $R < D$ produces two concave hulls of optimal value against cardinality. We ask which prescribed pairs arise. Exchange arguments give a neces…

cs.MM2026

Trigger Timing, Deadline Readiness, and Event-Aligned Accounting for Dynamic Ad Insertion

Prashant Chaudhary, Kapil Khandelwal

Dynamic ad insertion comparisons can conflate trigger, reach, readiness, playback, billability and measurement even when the accounting is arithmetically correct. We separate these…