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1. Alsmeyer, Gerold ; Biggins, J.D. ; Meiners, Matthias The functional equation of the smoothing transform. 2012 Ann. Probab.. 40 2069-2105
   Paper not yet in RePEc: Add citation now
   
2. Alsmeyer, Gerold ; Iksanov, Alexander A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks. 2009 Electron. J. Probab.. 14 289-312
   Paper not yet in RePEc: Add citation now
   

3. Alsmeyer, Gerold ; Mallein, Bastien A simple method to find all solutions to the functional equation of the smoothing transform. 2022 J. Theoret. Probab.. 35 2569-2599

4. Alsmeyer, Gerold ; Meiners, Matthias Fixed points of the smoothing transform: two-sided solutions. 2013 Probab. Theory Related Fields. 155 165-199
   Paper not yet in RePEc: Add citation now
   
5. Benaim, Shalom ; Friz, Peter Smile asymptotics. II. Models with known moment generating functions. 2008 J. Appl. Probab.. 45 16-32
   Paper not yet in RePEc: Add citation now
   
6. Bertoin, Jean ; Cortines, Aser ; Mallein, Bastien Branching-stable point measures and processes. 2018 Adv. Appl. Probab.. 50 1294-1314
   Paper not yet in RePEc: Add citation now
   
7. Bertoin, Jean ; Mallein, Bastien Biggins’ martingale convergence for branching Lévy processes. 2018 Electron. Commun. Probab.. 23 -
   Paper not yet in RePEc: Add citation now
   
8. Biggins, J.D. Martingale convergence in the branching random walk. 1977 J. Appl. Probab.b. 14 25-37
   Paper not yet in RePEc: Add citation now
   
9. Biggins, J.D. Uniform convergence of martingales in the branching random walk. 1992 Ann. Probab.. 20 137-151
   Paper not yet in RePEc: Add citation now
   
10. Biggins, J.D. ; Grey, D.R. Continuity of limit random variables in the branching random walk. 1979 J. Appl. Probab.. 16 740-749
    Paper not yet in RePEc: Add citation now
    
11. Biggins, J.D. ; Kyprianou, A.E. Fixed points of the smoothing transform: the boundary case. 2005 Electron. J. Probab.. 10 609-631
    Paper not yet in RePEc: Add citation now
    
12. Biggins, J.D. ; Kyprianou, A.E. Seneta-Heyde norming in the branching random walk. 1997 Ann. Probab.. 25 337-360
    Paper not yet in RePEc: Add citation now
    
13. Bingham, N.H. ; Goldie, C.M. ; Teugels, J.L. . 1987 En : Regular Variation. Cambridge University Press: Cambridge
    Paper not yet in RePEc: Add citation now
    
14. Bingham, N.H. ; Teugels, J.L. Duality for regularly varying functions. 1975 Quart. J. Math. Oxf. Ser. (2). 26 333-353
    Paper not yet in RePEc: Add citation now
    

15. Buraczewski, Dariusz On tails of fixed points of the smoothing transform in the boundary case. 2009 Stochastic Process. Appl.. 119 3955-3961

16. Buraczewski, Dariusz ; Damek, Ewa ; Mikosch, Thomas . 2016 En : Stochastic Models with Power-Law Tails. Springer: [Cham]
    Paper not yet in RePEc: Add citation now
    
17. Durrett, Richard ; Liggett, Thomas M. Fixed points of the smoothing transformation. 1983 Z. Wahrscheinlichkeitstheor. Verwandte Geb.. 64 275-301
    Paper not yet in RePEc: Add citation now
    
18. Iksanov, Alexander ; Mallein, Bastien A result on power moments of Lévy-type perpetuities and its application to the Lp-convergence of biggins’ martingales in branching Lévy processes. 2019 ALEA Lat. Am. J. Probab. Math. Stat.. 16 315-331
    Paper not yet in RePEc: Add citation now
    

19. Liu, Quansheng Asymptotic properties and absolute continuity of laws stable by random weighted mean. 2001 Stochastic Process. Appl.. 95 83-107

20. Liu, Quansheng Fixed points of a generalized smoothing transformation and applications to the branching random walk. 1998 Adv. Appl. Probab.. 30 85-112
    Paper not yet in RePEc: Add citation now
    

21. Liu, Quansheng On generalized multiplicative cascades. 2000 Stochastic Process. Appl.. 86 263-286

22. Lyons, Russell A simple path to Biggins’ martingale convergence for branching random walk. 1997 En : Classical and Modern Branching Processes (Minneapolis, MN, 1994). Springer, New York:
    Paper not yet in RePEc: Add citation now
    

23. Pakes, Anthony G. Self-decomposable laws from continuous branching processes. 2020 J. Theoret. Probab.. 33 361-395

24. Sato, Ken-iti . 1999 En : Lévy Processes and Infinitely Divisible Distributions. Cambridge University Press: Cambridge
    Paper not yet in RePEc: Add citation now
    

1. Cramér Moderate Deviations and Berry-Esseen Bounds for Mandelbrot’s Cascade in a Random Environment. (2025). Wei, Yushao ; Li, Peihan.
   In: Methodology and Computing in Applied Probability.
   RePEc:spr:metcap:v:27:y:2025:i:2:d:10.1007_s11009-025-10154-w.

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2. Limit theorems for a branching random walk in a random or varying environment. (2024). Liu, Quansheng ; Huang, Chunmao.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:172:y:2024:i:c:s0304414924000462.

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3. Central limit theorem in uniform metrics for generalized Kac equations. (2023). Ladelli, Lucia ; Bassetti, Federico.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:166:y:2023:i:c:s0304414923001989.

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4. On the law of terminal value of additive martingales in a remarkable branching stable process. (2023). Yang, Hairuo.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:158:y:2023:i:c:p:361-376.

   Full description at Econpapers || Download paper

5. Importance sampling for maxima on trees. (2022). Palmowski, Zbigniew ; Conroy, Michael ; Olvera-Cravioto, Mariana ; Basrak, Bojan.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:148:y:2022:i:c:p:139-179.

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6. Mixing time trichotomy in regenerating dynamic digraphs. (2021). Caputo, Pietro ; Quattropani, Matteo.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:137:y:2021:i:c:p:222-251.

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7. Regular variation of fixed points of the smoothing transform. (2020). Liang, Xingang ; Liu, Quansheng.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:130:y:2020:i:7:p:4104-4140.

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8. Harmonic moments, large and moderate deviation principles for Mandelbrot’s cascade in a random environment. (2019). Li, Yingqiu ; Peng, Xuelian ; Liu, Quansheng.
   In: Statistics & Probability Letters.
   RePEc:eee:stapro:v:147:y:2019:i:c:p:57-65.

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9. Pointwise estimates for first passage times of perpetuity sequences. (2018). Zienkiewicz, J ; Damek, E ; Buraczewski, D.
   In: Stochastic Processes and their Applications.
   RePEc:eee:spapps:v:128:y:2018:i:9:p:2923-2951.

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10. Favorite sites of randomly biased walks on a supercritical Galton–Watson tree. (2018). Hu, Yueyun ; de Raphelis, Loic ; Chen, Dayue.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:128:y:2018:i:5:p:1525-1557.

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11. Convergence of Martingale and Moderate Deviations for a Branching Random Walk with a Random Environment in Time. (2017). Wang, Xiaoqiang ; Huang, Chunmao.
    In: Journal of Theoretical Probability.
    RePEc:spr:jotpro:v:30:y:2017:i:3:d:10.1007_s10959-016-0668-6.

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12. Local Times of Subdiffusive Biased Walks on Trees. (2017). Hu, Yueyun.
    In: Journal of Theoretical Probability.
    RePEc:spr:jotpro:v:30:y:2017:i:2:d:10.1007_s10959-015-0652-6.

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13. Exact convergence rates in central limit theorems for a branching random walk with a random environment in time. (2016). Gao, Zhiqiang ; Liu, Quansheng.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:126:y:2016:i:9:p:2634-2664.

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14. Smoothing Equations for Large Pólya Urns. (2015). Pouyanne, Nicolas ; Mailler, Cecile ; Chauvin, Brigitte.
    In: Journal of Theoretical Probability.
    RePEc:spr:jotpro:v:28:y:2015:i:3:d:10.1007_s10959-013-0530-z.

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15. On the asymptotic behavior of randomly weighted averages. (2015). Roozegar, Rasool ; Soltani, A. R..
    In: Statistics & Probability Letters.
    RePEc:eee:stapro:v:96:y:2015:i:c:p:269-272.

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16. The Hausdorff spectrum of a class of multifractal processes. (2015). Jones, Owen Dafydd ; Decrouez, Geoffrey ; Hambly, Ben.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:125:y:2015:i:4:p:1541-1568.

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17. On the Multifractal Analysis of the Branching Random Walk in $$\mathbb{R }^d$$ R d. (2014). Attia, Najmeddine.
    In: Journal of Theoretical Probability.
    RePEc:spr:jotpro:v:27:y:2014:i:4:d:10.1007_s10959-013-0488-x.

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18. Multi-dimensional smoothing transformations: Existence, regularity and stability of fixed points. (2014). Bassetti, Federico ; Matthes, Daniel.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:124:y:2014:i:1:p:154-198.

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19. Heavy tailed solutions of multivariate smoothing transforms. (2013). Mentemeier, Sebastian ; Mirek, Mariusz ; Damek, Ewa ; Buraczewski, Dariusz.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:123:y:2013:i:6:p:1947-1986.

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20. Tail behavior of solutions of linear recursions on trees. (2012). Olvera-Cravioto, Mariana.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:122:y:2012:i:4:p:1777-1807.

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21. Moments, moderate and large deviations for a branching process in a random environment. (2012). Liu, Quansheng ; Huang, Chunmao.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:122:y:2012:i:2:p:522-545.

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22. On tails of fixed points of the smoothing transform in the boundary case. (2009). Buraczewski, Dariusz.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:119:y:2009:i:11:p:3955-3961.

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23. Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in a random environment. (2009). Liu, Quansheng ; Watbled, Frederique .
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:119:y:2009:i:10:p:3101-3132.

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24. Asymptotic regimes for the occupancy scheme of multiplicative cascades. (2008). Bertoin, Jean .
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:118:y:2008:i:9:p:1586-1605.

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25. Additional aspects of the non-conservative Kolmogorov–Filippov fragmentation model. (2007). Huillet, T ; Ghorbel, M.
    In: Chaos, Solitons & Fractals.
    RePEc:eee:chsofr:v:33:y:2007:i:5:p:1569-1583.

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26. Different aspects of a random fragmentation model. (2006). Bertoin, Jean .
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:116:y:2006:i:3:p:345-369.

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27. Elementary fixed points of the BRW smoothing transforms with infinite number of summands. (2004). Iksanov, Aleksander M..
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:114:y:2004:i:1:p:27-50.

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    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:109:y:2004:i:1:p:113-144.

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29. Limit Theorems for Multiplicative Processes. (2003). Liu, Quansheng ; Rio, Emmanuel ; Rouault, Alain.
    In: Journal of Theoretical Probability.
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30. Fixed points with finite variance of a smoothing transformation. (2003). Rosler, Uwe ; Caliebe, Amke.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:107:y:2003:i:1:p:105-129.

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31. Asymptotic properties and absolute continuity of laws stable by random weighted mean. (2001). Liu, Quansheng.
    In: Stochastic Processes and their Applications.
    RePEc:eee:spapps:v:95:y:2001:i:1:p:83-107.

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