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Symmetric Stable Processes as Traces of Degenerate Diffusion Processes
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inferredcites →https://doi.org/10.1016/0378-4754(91)90125-mopenalex-snapshot
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inferredcites →https://doi.org/10.1090/s0002-9947-1958-0104296-5openalex-snapshot
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inferredcites →https://doi.org/10.2307/2348458openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/cpa.21591openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/cpa.21745openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/mana.202400271openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/mma.5327openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-54242-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-54242-8_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-319-28739-3openalex-snapshot
Nonlocal Diffusion and Applications
inferred← citeshttps://doi.org/10.1007/978-3-319-95186-7_5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-540-48115-7_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-4-431-68532-6_19openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00736006openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00960076openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0083980openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00440-025-01458-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-022-02308-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-023-02453-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11118-012-9296-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11118-018-9694-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11425-024-2269-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0304-4149(93)90007-qopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0375-9601(93)90700-aopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2017.03.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.anihpc.2016.03.001openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2019.109009openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jde.2025.113816openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2015.11.016openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2019.05.017openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2019.108425openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2021.109188openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2024.110443openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.12.053openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2022.112790openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2008.04.035openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.spa.2005.09.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.spa.2012.08.013openalex-snapshot
Small mass asymptotic for the motion with vanishing friction
inferred← citeshttps://doi.org/10.1016/j.spa.2013.01.019openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0246-0203(99)00105-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0304-4149(01)00097-7openalex-snapshot
Applications of the continuous-time ballot theorem to Brownian motion and related processes
inferred← citeshttps://doi.org/10.1017/s096249292000001xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s1474748015000201openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1751-8113/41/28/285003openalex-snapshot
Characterizations and simulations of a class of stochastic processes to model anomalous diffusion
inferred← citeshttps://doi.org/10.1090/proc/13419openalex-snapshot
Exit times densities of the Bessel process
inferred← citeshttps://doi.org/10.1090/s0002-9947-1978-0506612-1openalex-snapshot
Application of the Sector Condition to the Classification of Submarkovian Semigroups
inferred← citeshttps://doi.org/10.1090/s0002-9947-2014-06181-3openalex-snapshot
On Neumann type problems for nonlocal equations set in a half space
inferred← citeshttps://doi.org/10.1090/tran/6872openalex-snapshot
On the fractional Lane-Emden equation
inferred← citeshttps://doi.org/10.1112/blms.12745openalex-snapshot
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inferred← citeshttps://doi.org/10.1112/blms.70303openalex-snapshot
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inferred← citeshttps://doi.org/10.1112/plms/s3-65.2.326openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/19m1302351openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0219199722500365openalex-snapshot
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inferred← citeshttps://doi.org/10.11650/tjm/211203openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/14-ps243openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/21-ejp624openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/22-aihp1250openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/23-aihp1452openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/aop/1022855878openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/aop/1024404422openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/aop/1176990735openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/ejp.v5-63openalex-snapshot
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inferred← citeshttps://doi.org/10.1215/ijm/1258136146openalex-snapshot
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inferred← citeshttps://doi.org/10.1215/ijm/1336049981openalex-snapshot
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inferred← citeshttps://doi.org/10.1512/iumj.2021.70.8635openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/9783110571561-002openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/anona-2022-0262openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/cmam-2025-0173openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/fca-2017-0002openalex-snapshot
Ten Equivalent Definitions of the Fractional Laplace Operator
inferred← citeshttps://doi.org/10.1515/fca-2020-0055openalex-snapshot
On the Harmonic Extension Approach to Fractional Powers in Banach Spaces
inferred← citeshttps://doi.org/10.15388/namc.2024.29.36104openalex-snapshot
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators
inferred← citeshttps://doi.org/10.1556/sscmath.2007.1033openalex-snapshot
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inferred← citeshttps://doi.org/10.21203/rs.3.rs-2492918/v1openalex-snapshot
Classification of Stable Solutions to a Fractional Elliptic Equations with Robin boundary value
inferred← citeshttps://doi.org/10.2139/ssrn.5273161openalex-snapshot
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inferred← citeshttps://doi.org/10.2307/3318455openalex-snapshot
Extreme Lengths in Brownian and Bessel Excursions
inferred← citeshttps://doi.org/10.2307/3318653openalex-snapshot
Partition Structures Derived from Brownian Motion and Stable Subordinators
inferred← citeshttps://doi.org/10.2977/prims/1166642190openalex-snapshot
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inferred← citeshttps://doi.org/10.3150/12-bejsp01openalex-snapshot
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inferred← citeshttps://doi.org/10.3150/20-bej1295openalex-snapshot
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inferred← citeshttps://doi.org/10.3389/fams.2026.1826811openalex-snapshot
Nonlocal elliptic equations with mixed fractional Laplacians: stability and nonexistence results
inferred← citeshttps://doi.org/10.37190/0208-4147.40.1.1openalex-snapshot
On potential theory of hyperbolic Brownian motion with drift
inferred← citeshttps://doi.org/10.3934/cpaa.2016.15.991openalex-snapshot
Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
inferred← citeshttps://doi.org/10.3934/dcds.2016033openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdss.2018027openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/mcrf.2021004openalex-snapshot
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inferred← citeshttps://doi.org/10.4064/cm135-1-3openalex-snapshot
Potential theory of hyperbolic Brownian motion in tube domains
inferred← citeshttps://doi.org/10.4064/sm206-3-2openalex-snapshot
Spectral analysis of subordinate Brownian motions on the half-line
inferred← citeshttps://doi.org/10.48550/arxiv.1009.3513openalex-snapshot
Hitting times of Bessel processes
inferred← citeshttps://doi.org/10.48550/arxiv.1404.3694openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1407.5598openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1801.09767openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1805.01404openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1910.09501openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2101.11305openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2107.10235openalex-snapshot
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inferred← citeshttps://doi.org/10.5772/intechopen.104025openalex-snapshot
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inferred← citeshttps://doi.org/10.5772/intechopen.109606openalex-snapshot
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inferred← citeshttps://doi.org/10.70675/6035cb07z39e9z48a7zb3d8zeaa1e8f77963openalex-snapshot
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