We present experimental and numerical investigations of optical extreme (rogue) event statistics recorded in the regime of femtosecond pulse filamentation in water. In the spectral domain, the extreme events manifest themselves as either large or small extremes of the spectral intensity, justified by right-or left-tailed statistical distributions, respectively. In the time domain, the observed extreme events are associated with pulse splitting and energy redistribution in space and therefore are exquisitely linked to three-dimensional, spatiotemporal dynamics and formation of the X waves.Rogue or freak waves are well known in hydrodynamics and refer to statistically rare giant waves that occur on the surface of oceans and seas (see, e.g., [1] for a review). From a general point of view, rogue waves or, more generally, rogue (extreme) events represent an extreme sensitivity of the nonlinear system to the initial conditions. Indeed, recently rogue-wave-like behavior was shown to be inherent to diverse nonlinear physical environments: propagation of acoustic waves in superfluid helium [2], variation of local atomic density in Bose-Einstein condensates [3], ion-acoustic and Alfvén wave propagation in plasmas [4], and propagation of acoustic-gravity waves in the atmosphere [5].Optical rogue waves, recently discovered by Solli et al.[6], constitute a fascinating topic in modern nonlinear optics [7,8]. At present, most of the knowledge on optical rogue waves is brought by the studies of the supercontinuum generation in optical fibers, under a variety of operating conditions and propagation regimes ranging from CW to femtosecond pulses [9][10][11][12][13][14][15], and has been shown to share a great similarity with the waves' hydrodynamical counterparts [16]. In fibers, rogue waves represent rare soliton pulses, whose statistics are characterized by extreme-value (non-Gaussian or, more specifically, L-shaped) distributions. It is generally accepted that optical rogue waves emerge as a result of the nonlinear wave interactions and soliton collisions, although the precise underlying physical mechanisms leading to their formation are still under debate [17].Extreme-value statistics are also inherent to various nonlinear optical systems, where dimensionality and nonlinear wave dynamics are more complex compared to optical fibers: nonlinear optical cavities [18], nonlinear optical lattices [19], nonlinear waveguides [20], and ultrashort pulse filamentation [21]. Ultrashort pulse filamentation is of particular interest, since it represents an ultimate regime of light and matter interaction, and the nonlinear dynamics is governed by the interplay of self-focusing and self-phase modulation, whitelight continuum generation, diffraction, nonlinear absorption, free-electron plasma generation, and space-time effects [22]. On the other hand, filamentation phenomena find a broad spectrum of applications, ranging from atmospheric analysis * Corresponding author: audrius.dubietis@ff.vu.lt[23] to laser micromachining [24], and therefore ...