Adam J. Harper

1. Moments of random multiplicative functions, I: Low moments, better than\n squareroot cancellation, and critical multiplicative chaos
   2017/03/20 by Adam J. Harper, Harper, Adam J. · 10 citations
   Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Probability (math.PR) #Stochastic processes and statistical mechanics
2. On the limit distributions of some sums of a random multiplicative\n function
   2010/12/01 by Adam J. Harper, Harper, Adam J. · 4 citations
   Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Probability (math.PR) #Stochastic processes and statistical mechanics
3. Almost sure large fluctuations of random multiplicative functions
   2020/12/31 by Adam J. Harper, Harper, Adam J. · 4 citations
   Decision Sciences · Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR) #Probability and Risk Models #Stochastic processes and statistical mechanics #advanced mathematical theories
4. Inverse questions for the large sieve
   2013/11/24 by Ben J. Green, Adam J. Harper, Green, Ben J. +1 · 3 citations
   Mathematics · #Limits and Structures in Graph Theory #Analytic Number Theory Research #Finite Group Theory Research
5. On a paper of K. Soundararajan on smooth numbers in arithmetic\n progressions
   2011/03/10 by Adam J. Harper, Harper, Adam J. · 2 citations
   Mathematics · #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT)
6. Moments of random multiplicative functions, III: A short review
   2024/10/15 by Adam J. Harper, Harper, Adam J. · 5 citations
   Decision Sciences · Mathematics · #FOS: Mathematics #Mathematical Approximation and Integration #Number Theory (math.NT) #Probability (math.PR) #Probability and Risk Models
7. The typical size of character and zeta sums is o(√(x))
   2023/01/11 by Adam J. Harper, Harper, Adam J. · 2 citations
   Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)
8. Orderings of weakly correlated random variables, and prime number races\n with many contestants
   2015/09/23 by Adam J. Harper, Harper, Adam J., Youness Lamzouri +1 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
9. A note on the maximum of the Riemann zeta function, and log-correlated random variables
   2013/04/02 by Adam J. Harper, Harper, Adam J. · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
10. The Riemann zeta function in short intervals [after Najnudel, and Arguin, Belius, Bourgade, Radziwiłł, and Soundararajan]
    2019/04/17 by Adam J. Harper, Harper, Adam J. · 1 citation
    Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Meromorphic and Entire Functions #Number Theory (math.NT) #Probability (math.PR)
11. On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture
    2019/06/13 by Adam J. Harper, Harper, Adam J. · 1 citation
    Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Stochastic processes and statistical mechanics