Preprints

• X. Jin : A Chung-Fuchs type theorem for skew product dynamical systems. Submitted. [arXiv]

• C. Bruce and X. Jin : Furstenberg Sumset Conjecture and Mandelbrot Percolations. Submitted. [arXiv]

Publications

• X. Jin: Spectral representation of one-dimensional Liouville Brownian Motion and Liouville Brownian excursion. J. Fractal Geom. 2023 [arXiv]

• J. Barral and X. Jin : On the Action of Multiplicative Cascades on Measures. Int. Math. Res. Notices 2022(18): 13857–13896, 2022. [arXiv] [DOI]

• K. Falconer and X. Jin : Exact dimensionality and projection properties of Gaussian multiplicative chaos measures. Trans. Amer. Math. Soc. 372: 2921–2957, 2019. [arXiv] [DOI]

• C. Bruce and X. Jin : Projections of Gibbs measures on self-conformal sets. Nonlinearity, 32(2): 603–621, 2019. [arXiv] [DOI]

• K. Falconer and X. Jin : Self-Similar Sets: Projections, Sections and Percolation. In: Trends in Mathematics, Recent Developments in Fractals and Related Fields, J. Barral, S. Seuret ed., Birkhaeuser, Switzerland, 113–127, 2017. [DOI]

• K. Falconer, J. Fraser and X. Jin : Sixty Years of Fractal Projections. In: Progress in Probability 70, C. Bandt; K. Falconer; M. Zaehle ed., Birkhaeuser, Switzerland, 3–25, 2015. [DOI]

• K. Falconer and X. Jin : Dimension conservation for self-similar sets and fractal percolation. Int. Math. Res. Notices 2015(24), 13260–13289, 2015. [arXiv] [DOI]

• K. Falconer and X. Jin : Exact dimensionality and projections of random self-similar measures and sets. J. London Math. Soc. 90(2), 388-412, 2014. [arXiv] [DOI]

• X. Jin : A uniform dimension result for two-dimensional fractional multiplicative processes. Ann. Inst. Henri Poincare Probab. Stat. 50(2), 512–523, 2014. [DOI]

• J. Barral and X. Jin : On exact scaling log-infinitely divisible cascades. Probab. Theory Relat. Fields. 160, 521–565, 2013. [arXiv] [DOI]

• J. Barral, X. Jin, R. Rhodes and V. Vargas : Gaussian Multiplicative Chaos and KPZ Duality. Comm. Math. Phys. 323(2), 451–485, 2013. [arXiv] [DOI]

• X. Jin : Dimension result and KPZ formula for two dimensional multiplicative cascade processes. Ann. Probab. 40(1), 1–18, 2012. [arXiv] [DOI]

• X. Jin : The graph and range singularity spectra of b-adic independent cascade functions. Adv. Math. 226, 4987–5017, 2011. [arXiv] [DOI]

• X. Jin : The graph and range singularity spectra of random wavelet series built from Gibbs measures. Nonlinearity 23, 1449–1475, 2010. [arXiv] [DOI]

• J. Barral and X. Jin : Multifractal Analysis of Complex Random Cascades. Comm. Math. Phys. 297, 129–169, 2010. [arXiv] [DOI]

• J. Barral and X. Jin and B. Mandelbrot : Convergence of complex multiplicative cascades. Ann. Appl. Probab. 20(4), 1219–1252, 2010. [arXiv] [DOI]

• J. Barral, X. Jin and B. Mandelbrot : Uniform convergence for complex [0,1]-martingales. Ann. Appl. Probab. 20(4), 1205-1218, 2010. [arXiv] [DOI]