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We revisit the statistics of extremes and records of symmetric random walkswith stochastic resetting, extending earlier studies in several directions. Weput forward a diffusive scaling regime (symmetric step length distribution withfinite variance, weak resetting probability) where the maximum of the walk andthe number of its records up to discrete time $n$ become asymptoticallyproportional to each other for single typical trajectories. Their distributionsobey scaling laws ruled by a common two-parameter scaling function,interpolating between a half-Gaussian and a Gumbel law. The exact solution ofthe problem for the symmetric exponential step length distribution and for thesimple Polya lattice walk, as well as a heuristic analysis of otherdistributions, allow a quantitative study of several facets of the statisticsof extremes and records beyond the diffusive scaling regime.

Maximum and records of random walks with stochastic resetting