First-passage percolation

Random walks in random environments

Natural sciences, Basic analysis, Basic analysis

Apr. 2021 - Present
Nihon University, College of Science and Technology, Associate Professor

Apr. 2015 - Mar. 2021
Nihon University, College of Science and Technology, Assistant Professor

Apr. 2014 - Mar. 2015
Nihon University College of Science and Technology, Research Institute of Science & Technology, Researcher

Oct. 2013 - Mar. 2015
Graduate School of Mathematical Sciences, The University of Tokyo, Project Researcher

Oct. 2013 - Mar. 2015
Ochanomizu University, Faculty of Science, Part-time Teacher

Apr. 2013 - Mar. 2015
Nihon University, College of Science and Technology, Part-time Teacher

Apr. 2013 - Sep. 2014
Chiba University, General Education, Part-time Teacher

Oct. 2012 - Mar. 2014
Nihon University, College of Science and Technology, Postdoctoral Fellow

Apr. 2012 - Mar. 2013
Nihon University Narashino High School, Part-time Teacher

May 2011 - Sep. 2012
Nihon University, College of Science and Technology, Research Assistant

Apr. 2009 - Sep. 2012
Graduate School of Science and Technology, Nihon University

Differences between Lyapunov exponents for the simple random walk in Bernoulli potentials
Naoki Kubota
Journal of Applied Probability, Mar. 2024

Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
Naoki Kubota
ALEA: Latin American Journal of Probability and Mathematical Statistics, Sep. 2023, Refereed

Comparison of limit shapes for Bernoulli first-passage percolation
Naoki Kubota; Masato Takei
International Journal of Mathematics for Industry, Dec. 2022, Refereed

Continuity for the rate function of the simple random walk on supercritical percolation clusters
Naoki Kubota
Journal of Theoretical Probability, Dec. 2020, Refereed, Not invited
Lead

Continuity for the asymptotic shape in the frog model with random initial configurations
Naoki Kubota
Stochastic Processes and their Applications, Sep. 2020, Refereed, Not invited
Lead

Quenched lower large deviation for the first passage time of the frog model in random initial configurations
Naoki Kubota
RIMS Kokyuroku Bessatsu, Stochastic Analysis on Large Scale Interacting Systems, Apr. 2020, Refereed, Not invited
Lead

Gaussian Fluctuation for Superdiffusive Elephant Random Walks
Naoki Kubota; Masato Takei
Journal of Statistical Physics, Dec. 2019, Refereed, Not invited

Deviation bounds for the first passage time in the frog model
Naoki Kubota
Advances in Applied Probability, Jul. 2019, Refereed, Not invited
Lead

Slowdown estimates for one-dimensional random walks in random environment with holding times
Amir Dembo; Ryoki Fukushima; Naoki Kubota
Electronic Communications in Probability, Nov. 2018, Refereed, Not invited

Rate of convergence in first-passage percolation under low moments
Michael Damron; Naoki Kubota
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, Oct. 2016, Refereed, Not invited

Rank-one perturbation formulas for the planar simple random walk in random potentials
Naoki Kubota
RIMS Kokyuroku Bessatsu, Stochastic Analysis on Large Scale Interacting Systems, Jul. 2016, Refereed, Not invited
Lead

Concentrations for the simple random walk in unbounded nonnegative potentials
Naoki Kubota
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2016, Refereed, Not invited

Upper bounds on the non-random fluctuations in first passage percolation with low moment conditions
Naoki Kubota
Yokohama Mathematical Journal, 2015, Refereed, Not invited
Lead

Quenched Large Deviations for Multidimensional Random Walk in Random Environment with Holding Times
Ryoki Fukushima; Naoki Kubota
JOURNAL OF THEORETICAL PROBABILITY, Dec. 2014, Refereed, Not invited

Quenched invariance principle for simple random walk on discrete point processes
Naoki Kubota
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, Oct. 2013, Refereed, Not invited

LARGE DEVIATIONS FOR SIMPLE RANDOM WALK ON SUPERCRITICAL PERCOLATION CLUSTERS
Naoki Kubota
KODAI MATHEMATICAL JOURNAL, Oct. 2012, Refereed, Not invited

The law of the iterated logarithm for a class of transient random walk in random environment
KUBOTA Naoki
Journal of Research Institute of Science and Technology, College of Science and Technology, Nihon University, 2012, Refereed, Not invited
Lead

Divergence of the time constant for the frog model with Bernoulli initial configurations
Naoki Kubota
Japanese–Netherlands workshop “Random Fields and Random Media”, Aug. 2024, Invited

Monotonicity of the time constant for the frog model with Bernoulli initial configurations
Naoki Kubota
Random Fields and Processes on Graphs and Fractals, Jun. 2024, Invited

フロッグモデルに関するリプシッツ連続性について
久保田直樹
無限粒子系、確率場の諸問題XVIII, Jan. 2024, Not invited

フロッグモデルの時間定数におけるリプシッツ型評価
久保田直樹
日本数学会2023年度年会, Mar. 2023

Lipschitz-type estimates for the frog model with the Bernoulli initial configuration
Naoki Kubota
Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2023, Jan. 2023, Invited

Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
Naoki Kubota
Probability and Analysis on Random Structures,and Related Topics, Aug. 2022, Invited

ランダムポテンシャル中のシンプルランダムウォークにおけるリアプノフ指数の狭義単調性
久保田直樹
東京確率論セミナー, Jul. 2022

Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
久保田直樹
Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2022, Jan. 2022, Invited

Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
久保田直樹
The 19th Symposium "Stochastic Analysis on Large Scale Interacting Systems", Dec. 2021, Invited

Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
久保田直樹
無限粒子系、確率場の諸問題XVI, Oct. 2021, Not invited

Continuity for the asymptotic shape in the frog model with random initial configurations
Naoki Kubota
Bernoulli-IMS One World Symposium 2020, Aug. 2020, Not invited

フロッグモデルにおける粒子の拡散について
久保田直樹
霧島確率論セミナー, Feb. 2020, Invited

フロッグモデルにおける漸近形状の連続性について
久保田直樹
大阪大学確率論セミナー, Dec. 2019, Invited

Continuity for the asymptotic shape in the frog model with random initial configurations
Naoki Kubota
Rigorous Statistical Mechanics and Related Topics, Nov. 2019, Invited

Continuity for the asymptotic shape in the frog model with random initial configurations
久保田直樹
日本数学会2019年度秋季総合分科会, Sep. 2019, Not invited

Continuity of the rate function for the simple random walk on percolation clusters
Naoki Kubota
Japan Netherlands workshop "Probabilistic methods in statistical mechanics of random media", May 2019, Not invited

Continuity result for the rate function of the simple random walk on supercritical percolation clusters
久保田直樹
福岡大学確率論セミナー, Feb. 2019, Invited

Continuity for the rate function of the simple random walk on supercritical percolation clusters
久保田直樹
無限粒子系、確率場の諸問題XIV, Jan. 2019, Not invited

Continuity result for the rate function of the simple random walk on supercritical percolation clusters
Naoki Kubota
17th International symposium "Stochastic Analysis on Large Scale Interacting Systems", Nov. 2018, Invited

Tail estimates for the first passage time in the frog model
Naoki Kubota
16th International symposium "Stochastic Analysis on Large Scale Interacting Systems", Nov. 2017, Invited

Upper tail estimates for the first passage time in the frog model
Naoki Kubota
Japanese-German Open Conference on Stochastic Analysis 2017, Sep. 2017, Invited

Continuity results for the frog model in random initial configurations
Naoki Kubota
One-day Workshop on Asymptotic and Potential Analysis of Stochastic Processes, Aug. 2017, Invited

Upper tail estimates for the first passage time in the frog model
久保田直樹
無限粒子系、確率場の諸問題XII, Jan. 2017, Not invited

フロッグモデルにおける情報伝達速度の末尾評価
久保田直樹
平成28年度(第60回)日本大学理工学部学術講演会, Dec. 2016, Not invited

不規則媒質中の乱歩に対する大偏差原理とリアプノフ指数
日本数学会2016年度秋季総合分科会, Sep. 2016, Invited

Concentration inequalities for the simple random walk in unbounded nonnegative potentials
Naoki Kubota
Workshop on percolation, spin glasses and random media, May 2016, Invited

On hitting probabilities for a random walk with random killing
久保田直樹
平成27年度(第59回)日本大学理工学部学術講演会, Dec. 2015, Not invited

Entropy and lattice animals for the simple random walk in random potentials
久保田直樹
無限粒子系、確率場の諸問題XI, Dec. 2015, Not invited

Concentrations for the travel cost of the simple random walk in random potentials
久保田直樹
東京確率論セミナー, Nov. 2015, Invited

ファーストパッセージパーコレーションにおける形状の揺らぎについて
久保田直樹
今野・竹居研究室セミナー, Oct. 2015, Invited

Concentrations for the simple random walk in unbounded nonnegative potentials
Naoki Kubota
14th International symposium "Stochastic Analysis on Large Scale Interacting Systems", Oct. 2015, Invited

Lower Gaussian concentration for the crossing random walk in random potentials
2015年度秋季総合分科会, Sep. 2015, Not invited

完全グラフ上のイジング模型に対するハミルトニアンの揺らぎ
大輪拓也; 久保田直樹
イジングモデルに対するSimulated Annealingの解析, Aug. 2015, Not invited

Large deviations for the travel cost of the simple random walk in random potentials
Naoki Kubota
RIMS camp-style seminar: New Trends in Stochastic Analysis, Jul. 2015, Invited

On the upper semi-continuity of the time constant in first-passage percolation with infinite passage times
新潟確率論ワークショップ, Jan. 2015, Not invited

Random walks on percolation clusters and related models
第166回ファジィ科学シンポジウム, Jan. 2015, Invited

Shape fluctuations in first passage percolation
平成26年度(第58回)日本大学理工学部学術講演会, Dec. 2014, Not invited

Gaussian concentration for the lower tail in first-passage percolation under low moments
確率論シンポジウム, Dec. 2014, Not invited

Non-random fluctuations in first-passage percolation under low moments
確率論と数理物理学, Nov. 2014, Not invited

On the continuity of the time constant of first-passage percolation with infinite passage times
無限粒子系、確率場の諸問題X, Nov. 2014, Not invited

Fluctuations around the asymptotic shape in first-passage percolation under low moments
13th workshop on Stochastic Analysis on Large Scale Interacting Systems, Nov. 2014, Invited

ファーストパッセージパーコレーションとランダムウォークに対するリアプノフ指数
確率論と数理物理学, Nov. 2014, Invited

Rate of convergence in first passage percolation with low moment conditions
無限粒子系、確率場の諸問題IX, Jan. 2014, Not invited

ファーストパッセージパーコレーションについて
平成25年度(第57回)日本大学理工学部学術講演会, Dec. 2013, Not invited

Rate of convergence in first passage percolation with low moment conditions
確率論シンポジウム, Dec. 2013, Not invited

Rate of convergence in first passage percolation with low moment conditions
マルコフ過程とその周辺, Nov. 2013, Not invited

Rates of convergence in first passage percolation with a weaker condition than exponential tail assumptions
日本数学会2013年度秋季総合分科会, Sep. 2013, Not invited

On the speed of convergence in first passage percolation under low moment conditions
The 2nd workshop on Universality and Scaling Limits in Probability and Statistical Mechanics, Aug. 2013, Invited

Quenched invariance principle for simple random walk on discrete point processes
RIMS International Project Research 2012: Discrete Geometric Analysis “Markov chains on graphs and related topics”, Feb. 2013, Invited

Quenched large deviations for multidimensional random walk in random environment with holding times
確率論シンポジウム, Dec. 2012, Not invited

Quenched large deviations for multidimensional random walk in random environment with holding times
無限粒子系、確率場の諸問題VIII, Oct. 2012, Not invited

Large deviations for simple random walk on supercritical percolation clusters
日本数学会2012年度秋季総合分科会, Sep. 2012, Not invited

Large deviations for simple random walk on supercritical percolation clusters
岡山解析・確率論セミナー, Aug. 2012, Invited

Large deviations for simple random walk on supercritical percolation clusters
関西確率論セミナー, Jul. 2012, Invited

Quenched large deviations for multidimensional random walk in random environment with holding times
東京確率論セミナー, Jun. 2012, Invited

Large deviations for random walk in random environment with holding times (joint work with R. Fukushima)
新潟確率論ワークショップ, Jan. 2012, Not invited

Quenched invariance principle for simple random walk on discrete point processes
確率論シンポジウム, Dec. 2011, Not invited

Quenched invariance principle for simple random walk on discrete point processes
平成23年度(第55回)日本大学理工学部学術講演会, Nov. 2011, Not invited

Quenched invariance principle for simple random walk on discrete point processes
東京確率論セミナー, Oct. 2011, Invited

Quenched invariance principle for simple random walk on discrete point processes
無限粒子系、確率場の諸問題VII, Oct. 2011, Not invited

Quenched invariance principle for simple random walk on discrete point processes
日本数学会2011年度秋季総合分科会, Sep. 2011, Not invited

The law of the iterated logarithm for a class of transient random walks in random environment
平成22年度(第54回)日本大学理工学部学術講演会, Nov. 2010, Not invited

筒状集合上のランダム環境におけるランダムウォークに対する0-1法則
平成20年度(第52回)日本大学理工学部学術講演会, Nov. 2008, Not invited

Apr. 2011 - Present
Mathematical Society of Japan