arcgis desktop - Outputting results message from spatial statistics tool to text file using Python?

I'm using the following tool in ArcGIS 10 - Calculate Distance Band from Neighbor Count (Spatial Statistics). I'm using a python script to execute this tool several times on different shapefiles:

    import arcpy
    arcpy.env.workspace = "c:/data"
    mindist, avgdist, maxdist = arcpy.CalculateDistanceBand_stats("Blocks1", 1, "EUCLIDEAN_DISTANCE")
    mindist, avgdist, maxdist = arcpy.CalculateDistanceBand_stats("Blocks2", 1, "EUCLIDEAN_DISTANCE")

    mindist, avgdist, maxdist = arcpy.CalculateDistanceBand_stats("Blocks3", 1, "EUCLIDEAN_DISTANCE")

At the moment, this outputs the 3 result values to the Results-Messages window in ArcMap 10, overwriting the past results each time. Is there any way I can write these values to a text file after each execution of the tool using python code. If possible I would like to run this on many shapefiles and write the output values to the same text file. If a text file isn't feasible, then anything that can store this information will suffice.